Sharp Bounds for the Ratio of Modified Struve Functions of the First Kind

This article deals with some functional inequalities involving Struve function, generalized Struve function, and modified Struve functions. We aim to find the convexity of the integral operator defined by Struve function, generalized Struve function, and modified Struve functions.

In this paper, authors establish eight definite integral involving Struve function and modified Struve functions using basic properties of definite integrals and its techniques. Several closely-related results such as (for example) Generalized hypergeometric functions are also considered. These results provide some exten- sions in the scientific literature. Furthermore, these integrals play a significant role in the applied Mathematics.

ABSTRACTThe aim of this paper is to establish the Turán-type inequalities for Struve functions, modified Struve functions, Anger–Weber functions and Hurwitz zeta function, by using a new form of the Cauchy–Bunyakovsky–Schwarz inequality.

The Mittag-Leffler expansion for the modified Struve functions L ν ( x ) of the first kind, valid for all x ∈ R and | ν | ≤ 1 / 2 , is utilized in order to obtain bounds for the ratios L ν − 1 ( x ) L ν ( x ) and L ν ′ ( x ) L ν ( x ) . Moreover, several inequalities are also obtained for the function ∑ n = 1 + ∞ 2 x 2 + h ν , n 2 , where h ν , n is the nth positive zero of the Struve function H ν ( x ) , appearing in the Mittag-Leffler expansion.

2 Numerical Results – Tabulation of First, Second and Third Derivatives with Respect to the Order of the Struve, Modified Struve, Anger and Weber Functions

Poroelastic response of spherical indentation into a half space with a drained surface via step displacement

A method is developed for computing the modified Struve functions that occur in unsteady aerodynamics. The method uses a rational approximation supplemented by an asymptotic series for large argument. Simple recursive formulas for generating the coefficients are derived. The method is capable of generating results of arbitrary accuracy. It can also be used for complex argument and order. For greater computing speed, a method is presented that uses the rational and asymptotic approximations to generate Chebyshev coefficients.

Analytic Models of Planetary Atmospheres: Power-of-Radius and Other Functions for Structure and Content

Bounds for modified Struve functions of the first kind and their ratios

On the calculation of the phase shifts in nucleon-nucleon scattering with spin-orbit interaction

In this paper, the fast algorithms of the derivatives of Bessel functions with respect to the parameter are obtained. Based on these fast algorithms, we discuss the calculations of the derivatives of the functions related to the heterogeneous Bessel differential equation, such as Anger, Weber, Struve and modified Struve functions. In addition, the fast calculation of some integrals related to these functions are obtained. At last, numerical examples show the algorithms given in this paper are fast and high precision.

Phase shifts for singular type nucleon-nucleon triplet-even potentials

Turán type inequalities for Struve functions

Boundary element techniques for two-dimensional nuclear reactor calculations

Two new series representations for the Rice function Ie (k, x) are presented. One of the series involves the modified Struve functions and the other involves the modified Bessel functions. These two series complement each other in their convergence speeds as functions of the values of k and x . The truncation error bounds are derived for both series. Therefore, they can be used alternatively with high efficiency and known precision.