Analytical Behavior Research Articles

Porous-coral-like cerium doped tungsten oxide/graphene oxide micro balls: A robust electrochemical sensing platform for the detection of antibiotic residue

Metal oxides decorated carbon nanomaterials, as an electrode material have been well explored in the field of electrochemical sensor. However, instead of using the high concentration of graphene oxide (GO), we try to explore the influence of minimum quantity of GO in material synthesis. Here we demonstrate the hydrothermal synthesis of low-cost cerium (Ce)-doped tungsten oxide/graphene oxide (CeW/GO) composite for the precise electrochemical detection of antibiotic drug furazolidone (FUZ). For the synthesis of composite, 40 μg/mL concentration of GO has been utilized. Then, several physicochemical and electrochemical techniques were used to examine the morphological, structural, and electrochemical characteristics of the CeW/GO composite. Interestingly, the composite material has a porous-coral-like structure, which is being described here for the first time. The GO nanosheets cover the CeW and make the smooth surface and lead to the porous structure. Then we looked into the analytical behavior of CeW/GO composite modified glassy carbon electrode for the application towards the electrochemical detection of the FUZ using the voltammetric technique. The effect of experimental conditions, including loading concentration of active material, pH, scan rate, accumulation time, and concentration of FUZ, were analyzed with respect to the reduction peak current response of FUZ. At the optimum conditions, the fabricated sensor has a low detection limit (0.054 μM), appreciable sensitivity (2.5 μA μM −1 cm −2 ) with a wide linear range (1–260 μM), and the decent anti-interference ability for FUZ detection. Furthermore, the developed sensor was successfully used to assess the FUZ concentration in the human urine samples, yielding satisfactory results. • porous-coral-like CeW/GO micro balls composite material was designed for the first time. • The CeW/GO composite was employed as a novel electrocatalyst to detect the furazolidone (antibiotic drug). • A detailed study was made on electrochemical performance of the developed sensor. • The performance of CeW/GO/GCE was comparable with the noble metals (Pt, Re, and Au) based modified electrodes.

One step production of Se doped carbon dots for rapid sensing of tetracycline in real water sample

In the present decade, the utilization of antibiotics at augmented rate has caused harmful environmental pollution. The resistance rate of bacteria against antibiotics has become faster due to excessive employment of antibiotics. Therefore, it is mandatory to develop a new, sustainable and environment friendly nanohybrid system which can easily detect antibiotic especially tetracycline. It is prevalently found drug pollutant which can easily contaminate food, aquatic species and human health. While keeping all the facts during consideration, a simple and one step scheme is followed for the development of selenium supported carbon dots (Se@CDs) nano hybrids by utilizing commonly available natural sugars such as sucrose, fructose and glucose as a reducing and stabilizing agent. The CDs were prepared from the waste coconut husk. The developed nano-hybrid exhibits excellent optical and emission properties which suggest their further applications. Additionally, different analytical studies have been carried out to evaluate their physicochemical properties. Due to their outstanding analytical behavior, they have been successfully utilized in the sensitive and specific detection of tetracycline (TC) in presence of different interfering ions. The glucose derived Se@CDs shows maximum quenching effect towards TC. The value of detection limit and binding constant were found to be 155 nM and 517 nM −1 . Further, their recovery studies have been carried out in different real samples. The obtained findings suggest that the developed Se@CDs can be successfully explored in biological fields. • Development of Se doped carbon dots have been carried out by using three natural reducing sugars. • Different analytical techniques have been performed to evaluate the physicochemical properties of prepared Se@CDs nanohybrid. • The developed glucose derived Se@CDs have been found highly effective in the fluorescence quenching of tetracycline. • The value of detection limit of G-Se@CDs for tetracycline sensing was found to be 155 nM.

Convergent Expansions of Eigenvalues of the Generalized Friedrichs Model with a Rank-One Perturbation

We study analytic behavior of eigenvalues of the generalized Friedrichs model \(H_\mu (p)\), with a rank-one perturbation, depending on parameters \(\mu >0\) and \(p\in {\mathbb {T}}^2\). Under certain conditions, the existence of a unique eigenvalue lying below the essential spectrum has been shown in Lakaev (Abstract Appl Anal 2012, 2012). Here, we obtain an absolutely convergent expansion for that eigenvalue at \(\mu (p)\), the coupling constant threshold. The expansion is dependent to a large extent on whether the lower bound of the essential spectrum is a threshold resonance, a threshold eigenvalue or neither of them.

Analytical Solution and Quasi-Periodic Behavior of a Charged Dilaton Black Hole

With the vast breakthrough brought by the Event Horizon Telescope, the theoretical analysis of various black holes has become more critical than ever. In this paper, the second-order asymptotic analytical solution of the charged dilaton black hole flow in the spinodal region is constructed from the perspective of dynamics by using the two-timing scale method. Through a numerical comparison with the original charged dilaton black hole system, it is found that the constructed analytical solution is highly consistent with the numerical solution. In addition, several quasi-periodic motions of the charged dilaton black hole flow are numerically obtained under different groups of irrational frequency ratios, and the phase portraits of the black hole flow with sufficiently small thermal parameter perturbation display good stability. Finally, the final evolution state of black hole flow over time is studied according to the obtained analytical solution. The results show that the smaller the integral constant of the system, the greater the periodicity of the black hole flow.

A Novel Feature of Valence Quark Distributions in Hadrons

Examining the evolution of the maximum of valence quark distribution, qV, weighted by Bjorken x, h(x,t)≡xqV(x,t), it is observed that h(x,t) at the peak becomes a one-parameter function; h(xp,t)=Φ(xp(t)), where xp is the position of the peak, t=logQ2, and Q2 is the resolution scale. This observation is used to derive a new model-independent relation which connects the partial derivative of the valence parton distribution functions (PDFs) in xp to the quantum chromodynamics (QCD) evolution equation through the xp derivative of the logarithm of the function Φ(xp(t)). A numerical analysis of this relation using empirical PDFs results in an observation of the exponential form of the Φ(xp(t))=h(xp,t)=CeDxp(t) for leading to next-to-next leading order approximations of PDFs for the range of Q2, covering four orders in magnitude. The exponent, D, of the observed “height-position” correlation function converges with the increase in the order of approximation. This result holds for all the PDF sets considered. A similar relation is observed also for the pion valence quark distribution, indicating that the obtained relation may be universal for any non-singlet partonic distribution. The observed “height-position” correlation is used also to indicate that no finite number of exchanges can describe the analytic behavior of the valence quark distribution at the position of the peak at fixed Q2.

Mechanical behavior of concrete-filled rectangular steel tubular composite truss bridge in the negative moment region

Concrete-filled rectangular steel tubular (CFRST) composite truss bridge is a new type of structure composed of a CFRST truss and concrete deck slab. This new type of bridge has the advantages of high structural force-transferring efficiency, rapid assembly construction speed and excellent total life cycle, which meets the construction concept of green, recyclable and sustainable development. Due to the broad application prospects, experiment on the flexural behavior of CFRST composite truss bridge in the negative moment region was reported by authors previously. This paper thus presents a finite element analysis (FEA) modelling verified by the reported test data to further investigate the detailed analytical behavior of this structure. The structural response and failure mechanism of CFRST composite truss beam in the negative moment region are studied. In addition, the important structural design parameters on the flexural performance of the CFRST composite truss beam are also investigated, including the height to span ratio, the brace-to-chord wall thickness ratio, the reinforcement ratio of steel reinforcements and prestressed tendons and the strength grade of concrete infill in chords. Finally, the reasonable structural design parameters range are proposed for the optimum design of the CFRST composite truss bridge. • Presenting a FEA modelling to investigate the detailed analytical behavior of CFRST composite truss bridge. • Structural response and failure mechanism on the flexural performance of the CFRST composite truss beam are investigated. • Reasonable structural design parameters range are proposed for the optimum design.

Preparation, spectroscopic characterization and antitumor-antimicrobial studies of some Schiff base transition and inner transition mixed ligand complexes

Mixed ligand complexes of Mn(II), Ni(II), Zn(II), La(III), Er(III) and Yb(III) metal ions were prepared from bidentate Schiff base ligand (L) as a primary ligand, derived from condensation of benzophenone and 1,8-naphthylenediamine, and 1,10-phenanthroline (Phen) as a secondary ligand. The new Schiff base ligand (N1-(diphenylmethylene)naphthalene-1,8-diamine) and its mixed ligand complexes were characterized by using elemental microanalysis, conductometric measurements, magnetic susceptibility and spectroscopic studies (UV–Vis, mass spectral analysis, IR, 1H NMR and SEM). In addition, their thermal analytical (TG and DTG) behavior has been reported. Measurements of the molar conductivity of the complexes in DMF solvent pointed out the electrolytic nature of all complexes except Mn(II) and Zn(II) complexes were non electrolytes. According to the elemental analyses data, it was observed that the mixed ligand chelates had the general formulae [M(L)(Phen)Cl2]Cl.2H2O (M = La(III), Er(III) and Yb(III)), [M(L)(Phen)Cl2].H2O (M = Mn(II) and Zn(II)) and [Ni(L)(Phen)Cl(H2O)]Cl.H2O. Based on these findings, all mixed ligand complexes had octahedral geometry. The SEM image of the Schiff base ligand illustrated its rods like morphology with and average particle size of 77 nm while, the image of Ni(II) complex showed non-uniform platelets structure with some scattered rods with an average particle size of 54 nm. Considerable applications were done to ensure the biological significance of Schiff base ligand and its new mixed ligand complexes with Phen against Gram-negative bacteria (Escherichia coli), Gram-positive bacteria (Bacillus subtilis) and fungal (Aspergillus flavus and Candida albicans) strains and anti-cancer activities against (MCF7 breast cancer cell line). The results obtained revealed that the complexes exhibited promising biological and anticancer activity. Moreover, molecular docking studies were applied to determine the probable binding mode among the Schiff base ligand and the active site of the crystal structure of E. coli YcbB acylated with meropenem (PDB ID: 6NTW) and breast cancer estrogen mutant L536S (PDB ID: 6SBO) receptors.

Divergence instability of kinematically constrained Hencky chains: Analytic results and asymptotic behavior

AbstractThis paper investigates the stability of any n degree‐of‐freedom Hencky chain subjected to a full follower force at its tip and under kinematic constraints. We specifically solve this discrete problem and focus on its asymptotic behavior when n tends towards infinity and compare it with its analogous continuous formulation, also referred to as the kinematically constrained Beck's column. The divergence instability load of this non‐conservative discrete system under general kinematic constraints is ruled by the so‐called second‐order work criterion, which involves the symmetric part of the stiffness matrix. The application of the second‐order work criterion to the discrete repetitive system allows to find the exact divergence load under kinematic constraints, whatever the size of the discrete system. The critical value is obtained as the smallest positive root of explicit transcendent equations for both the generic () and the singular () cases, these two cases being illustrated by different values (respectively 2C and C) of the stiffness of the elastic torsion spring at the basis of the discrete system. The corresponding destabilizing kinematic constraint is also calculated. Asymptotic derivations show the convergence of the dimensionless buckling load towards the continuous one, equal to π2, and give the corresponding destabilizing kinematic constraint of the Beck's column.

Analytical, Experimental, and Numerical Investigation of Energy in Hydraulic Cylinder Dynamics of Agriculture Scale Excavators

This paper discusses energy behaviors in hydraulic cylinder dynamics, which are important for model-based control of agriculture scale excavators. First, we review hydraulic cylinder dynamics and update our physical parameter identification method to agriculture scale experimental excavators in order to construct a nominal numerical simulator. Second, we analyze the energy behaviors from the port-Hamiltonian point of view which provides many links to model-based control at laboratory scale at least. At agriculture scale, even though the nominal numerical simulator is much simpler than an experimental excavator, the analytical, experimental, and numerical energy behaviors are very close to each other. This implies that the port-Hamiltonian point of view will be applicable in agriculture scale against modeling errors.

Analysis of tapered composite hybrid steel inverted T‐section beam models and RC flange

AbstractThe aim of this paper is to investigate analytical and experimental flexural behavior of a latest composite beam model. The cross section comprises tapered inverted steel T‐beam embedded within the RC concrete slab, by simple steel reinforcement bar bent in to L‐shape as shear connectors welded to web. The slab is reinforced with longitudinal and transverse bars fixed on the top of L‐shape connectors. The paper shows the structural behavior difference between the composite model with a tapered inverted steel T‐beam and the composite model with non‐tapered inverted steel T‐beam. Failure modes either by cracking of compression concrete or L‐shape connection failure, will be investigated. Suggested designing curves and valuable equations will be presented. This model is of a great bid for roofs and fast accommodations, due to its convenience, flexibility, cost‐effective and availability of its low‐priced components.

Analytical behavior of weakly dispersive surface and internal waves in the ocean

The (2+1)-dimensional interaction of a Riemann wave propagating along the y-axis with a long wave along the x-axis is described by the space-time fractional Calogero-Degasperis (CD) and fractional potential Kadomstev-Petviashvili (PKP) equation. It can be modeled according to the Hamiltonian structure, the lax pair with the non-isospectral problem, and the pain level property. The proposed equations are widely used in beachfront ocean and coastal engineering to describe the propagation of shallow-water waves, demonstrate the propagation of waves in dissipative and nonlinear media, and reveal the propagation of waves in dissipative and nonlinear media. In this paper, we have established further exact solutions to the nonlinear fractional partial differential equation (NLFPDEs), namely the space-time fractional CD and fractional PKP equations using the modified Rieman-Liouville fractional derivative of Jumarie through the two variable (G′/G,1/G)-expansion method. As far as trigonometric, hyperbolic, and rational function solutions containing parameters are concerned, solutions are acquired when unique characteristics are assigned to the parameters. Subsequently, the solitary wave solutions are generated from the solutions of the traveling wave. It is important to observe that this method is a realistic, convenient, well-organized, and ground-breaking strategy for solving various types of NLFPDEs.

Fuzzy solution of system of fuzzy fractional problems using a reliable method

Under uncertainty, the analytical behavior of fractional differential equations is frequently puzzling and difficult to predict. As a result, it's necessary to develop a suitable, comprehensive, and highly effective theory to solve these challenges. The fuzzy fractional differential equation theory is a relatively recent concept that has applications in engineering, applied mathematics. The fractional differential transform method (FDTM) is utilized in this study to determine the analytical fuzzy solution of some fuzzy fractional differential equations in Caputo sense, which are used to analyze a range of physical models in many sciences and engineering disciplines. The developed FFDE solutions are more generalized and have a wider range of applications. A parametric characterization of the solutions is obtained by converting the fuzzy fractional differential equation to an equivalent crisp system of corresponding fractional differential equations. The numerical and graphical presentation shows the symmetry between lower and upper cut representations of the fuzzy solutions and may be useful in better understanding of automatic control models, artificial intelligence, image classification, computer science, medical science, quantum optics, measure theory, physics, biology, optimal control theory, mathematical economics, and other domains, and non-financial analysis.

Theory and Applications of the Unit Gamma/Gompertz Distribution

Unit distributions are commonly used in probability and statistics to describe useful quantities with values between 0 and 1, such as proportions, probabilities, and percentages. Some unit distributions are defined in a natural analytical manner, and the others are derived through the transformation of an existing distribution defined in a greater domain. In this article, we introduce the unit gamma/Gompertz distribution, founded on the inverse-exponential scheme and the gamma/Gompertz distribution. The gamma/Gompertz distribution is known to be a very flexible three-parameter lifetime distribution, and we aim to transpose this flexibility to the unit interval. First, we check this aspect with the analytical behavior of the primary functions. It is shown that the probability density function can be increasing, decreasing, “increasing-decreasing” and “decreasing-increasing”, with pliant asymmetric properties. On the other hand, the hazard rate function has monotonically increasing, decreasing, or constant shapes. We complete the theoretical part with some propositions on stochastic ordering, moments, quantiles, and the reliability coefficient. Practically, to estimate the model parameters from unit data, the maximum likelihood method is used. We present some simulation results to evaluate this method. Two applications using real data sets, one on trade shares and the other on flood levels, demonstrate the importance of the new model when compared to other unit models.

Gold Nanoparticles Photosensitization towards 3,4,9,10-Perylenetetracarboxylic Dianhydride Integrated with a Dual-Particle Three-Dimensional DNA Roller: A General “ON–OFF–ON” Photoelectric Plasmon-Enhanced Biosensor

A high initial signal for the sensitive detection of analytes is critical in photoelectrochemical (PEC) biosensing systems. As a semiconductor, 3,4,9,10-perylenetetracarboxylic dianhydride (PTCDA) possesses an appropriate optical band gap of 2.5 eV and inherently intense and stable PEC response. When gold nanoparticles (Au NPs) are electrodeposited on the surface of PTCDA to form a Schottky junction (Au NPs/PTCDA), a surprising and satisfactory PEC performance is unfolded before our eyes. Considering the outstanding PEC behaviors of Au NPs/PTCDA and the great quenching effect of gold nanoclusters (Au NCs), the "ON-OFF-ON" PEC sensing platform has been developed for microRNA 1246 (miRNA 1246) detection combined with the cascaded quadratic amplification strategy of the polymerization/nicking reaction and dual-particle 3D DNA roller. The higher initial PEC signals of the system can be acquired by regulating the deposition time for 35 s (-0.2 V), which is derived from the synergetic effect of localized surface plasmon resonance of Au NPs and the formation of a Schottky junction. The dual-particle 3D DNA roller has been designed to guarantee wide walking space, remarkable operation performances, and inhibition of derailment. The proposed biosensor shows a dynamic range from 10 aM to 1 pM at a low detection limit of 3.1 aM and exhibits good analytical behaviors while analyzing miRNA 1246 in healthy human serum samples. This work not only expands the application of organic photoelectric materials in bioanalysis but also provides potential possibility of detecting other biomarkers by choosing appropriate target units.

Analytic Thinking and Political Orientation in the Corona Crisis.

With much unknown about the new coronavirus, the scientific consensus is that human hosts are crucial to its spread and reproduction—the more people behave like regular socializing beings they are, the more likely it is that the virus will propagate. Hence, many nations worldwide have mandated physical-distancing measures. In the current preregistered research, we focus on examining two factors that may help explain differences in adherence to COVID-19 preventive behaviors and policy support across different countries—political orientation and analytic thinking. We positioned our research within the dual-process framework of human reasoning and investigated the role of cognitive reflection, open-minded thinking, and political ideology in determining COVID-19 responsible behavior (physical distancing and maintaining hygiene) and support for restrictive COVID-19 policies on a sample of 12,490 participants from 17 countries. We have not been able to detect substantial relationships of political orientation with preventive behaviors and policy support, and overall found no reliable evidence of politicization, nor polarization regarding the issue. The results of structural equation modeling showed that the inclination towards COVID-19 preventive measures and their endorsement were defined primarily by the tendency of open-minded thinking. Specifically, open-minded thinking was shown to be a predictor of all three criteria—avoiding physical contact, maintaining physical hygiene, and supporting COVID-19 restrictive mitigation policies. Cognitive reflection was predictive of lesser adherence to stricter hygiene and only very weakly predictive of lesser policy support. Furthermore, there was no evidence of these effects varying across political contexts. The mediation analysis suggested a partial mediation effect of COVID-19 conspiracy beliefs on the relationships of open-mindedness and cognitive reflection with physical distancing (but not adherence to stricter hygiene) and COVID-19 policy support, albeit very small and significant primarily due to sample size. There was also no evidence of these effects varying across political contexts. Finally, we have not been able to find strong evidence of political orientation modifying the relationship between analytical thinking and COVID-19 behaviors and policy support, although we explored the pattern of these effects in the US and Canadian samples for exploratory purposes and comparison with other similar studies.

Pinhole-Free Shell-Isolated Nanoparticle Enhanced Raman Spectroscopy for Interference-Free Probing of Electrochemical Reactions.

Investigating the behavior of analytes at the electrode surface is crucial in understanding the electrochemical and electrocatalytic reactions. Although Surface Enhanced Raman Scattering (SERS) is sensitive to minor chemical changes in the analyte, it is not widely used to study the reaction mechanisms on nonplasmonic surfaces because of the interference from plasmonic SERS substrates. In this study, we have investigated the redox reaction of Nile Blue A on a glassy carbon surface using pinhole-free silica-coated silver nanoparticles for Raman signal enhancement. The silver nanostructures were synthesized by a chemical reduction method, and the quality of the silica layer was confirmed using microscopic and electrochemical method. The in situ spectroelectrochemical data reveals the catalytic interference from silver which considerably alters the native reaction mechanism. The pinhole-free silica layer prevents the hot electron transfer and yields an interference-free enhancement to the Raman signals.

Analytical modelling bond behaviour of polybenzoxazole (PBO) and glass Fibre Reinforced Cementitious Matrix (FRCM) systems coupled with cement and gypsum matrixes: Effect of the Cohesive Material Law (CML) shape

The trilinear Cohesive Material Law (CML) is generally employed to analyse fibre-matrix interface behaviour of Fibre Reinforced Cementitious Matrix (FRCM) systems regardless of their specific features. In this study, four laws, all ending with a frictional plateau, are selected to uncover suitability with characteristics of different FRCM systems. Closed form expressions of the local slip law for the different CMLs are derived for short and long bonded lengths. Then, adhesion tests of polybenzoxazole (PBO) -cement and glass-gypsum systems are considered to implement consistent comparisons. Results suggest that laws providing linear softening well represent the analysed cement-PBO system, while for the glass-gypsum system, a slower degradation of bonding occurred and a different CML (trapezoid shaped) estimates more effectively experimental curves.

Characterization of the new CelerisTM Arginine column: Retentive behaviour through a combination of chemometric tools and potential in drug analysis

CelerisTM Arginine (ARG) is a mixed-mode stationary phase recently released on the market. To characterize its analytical behavior, the retention factors of a pool (n=100, of which 36 neutrals, 26 acids and 38 bases) of pharmaceutically relevant compounds have been measured on this phase over eight percentages (from 10 to 90% v/v) of acetonitrile (MeCN) as organic modifier. The ARG phase exhibited enhanced affinity for the molecules that are in their anionic form at the experimental pH, whilst basic compounds, albeit over a wide range of lipophilicity and pKa values, were on average poorly retained. To dissect the separation mechanism of the ARG phase, the overall analytical retention has been deconvoluted into the individual contributions of intermolecular forces by a QSPR/ Partial Least Square (PLS)/Block Relevance (BR) analysis tool recently developed by us.For the neutrals, the most relevant blocks were found to be Size, describing the interaction due to the dimension of the molecule, and O, representing the solute's hydrogen bond donor properties. The change in sign from positive to negative of the Size block, which occurs between 10% and 20% MeCN, allowed to visually appreciate the switch in the separation mode from reversed phase to normal phase. Some good statistic models for rationalizing the analytical behaviour of neutrals were developed from VS+ descriptors. However, their performance in modelling the analytical retention of acids was substandard, probably due to the intrinsic inefficacy of VS+ descriptors in handling electric charges. This instance was addressed by a complimentary MLR strategy, which led to successfully model the retention of acids on the ARG column and to shed light into their retention mechanism, which seemed to be substantially driven by electrostatics.

Co-precipitation synthesis of cobalt doped ZnO nanoparticles: Characterization and their applications for biosensing and antibacterial studies

A new modified sensor based on carbon paste electrode (CPE) was developed using cobalt doped ZnO (Co-ZnO) nanoparticles (NPs). In this work, we demonstrated the analytical behavior and applications of CPE modified with Co-ZnO/MCPE for the simultaneous determination of uric acid (UA) and adrenaline (AD) with highly selective and sensitive using voltammetric techniques. The synthesized Co-ZnO NPs were characterized by utilizing XRD, FTIR, FESEM with EDX, TEM, UV–Vis and photoluminescence spectroscopy. XRD suggests that the average size of these NPs was between 21 and 35 nm with a hexagonal wurtzite structure. Tauc plot exhibited that the optical energy bandgap of ZnO NPs gradually decreases with Co doping. Compared with undoped ZnO, Co-ZnO modified carbon paste electrode (Co-ZnO/MCPE) exhibits excellent electrochemical performance towards the oxidation of UA. Influencing factors, including scan rate, concentration, and pH values were optimized. Under the optimal condition, the Co-ZnO/MCPE responded to UA linearly with a detection limit of 3.37 µM and the fabricated sensor exposes diffusion-controlled electrode process. The developed Co-ZnO/MCPC has capable of determination of both UA and AD simultaneously with two different oxidation peaks. The sensitivity, long-term stability and reproducibility of the developed sensor were estimated. The bacterial efficiency of undoped and Co-ZnO NPs was inspected against gram-negative (Escherichia coli) and gram-positive (Enterococcus faecalis) bacteria.

On a Tauberian theorem of Ingham and Euler–Maclaurin summation

We discuss two theorems in analytic number theory and combinatory analysis that have seen increased use in recent years. A corollary to a Tauberian theorem of Ingham allows one to quickly prove asymptotic formulas for arithmetic sequences, so long as the corresponding generating function exhibits exponential growth of a certain form near its radius of convergence. Two common methods for proving the required analytic behavior are modular transformations and Euler–Maclaurin summation. However, these results are sometimes stated without certain technical conditions that are necessary for the complex analytic techniques that appear in Ingham’s proof. We carefully examine the precise statements and proofs of these results, and find that in practice, the technical conditions are satisfied for those cases appearing in recent applications. We also generalize the classical approach of Euler–Maclaurin summation in order to prove asymptotic expansions for series with complex values, simple poles, or multi-dimensional summation indices.