New Class Of Meromorphic Functions Research Articles

Certain Properties on Meromorphic Functions Defined by a New Linear Operator Involving the Mittag-Leffler Function

Our paper introduces a new linear operator using the convolution between a Mittag–Leffler Function and basic hypergeometric function. Use of the linear operator creates a new class of meromorphic functions defined in the punctured open unit disk. Consequently, the paper examines different aspects Apps and assets like, extreme points, coefficient inequality, growth and distortion. In conclusion, the work discusses modified Hadamard product and closure theorems.

Pascu-Rønning Type Meromorphic Functions Based on Sălăgean-Erdély–Kober Operator

In the present investigation, we introduce a new class of meromorphic functions defined in the punctured unit disk Δ*:={ϑ∈C:0<|ϑ|<1} by making use of the Erdély–Kober operator Iς,ϱτ,κ which unifies well-known classes of the meromorphic uniformly convex function with positive coefficients. Coefficient inequalities, growth and distortion inequalities, in addition to closure properties are acquired. We also set up a few outcomes concerning convolution and the partial sums of meromorphic functions in this new class. We additionally state some new subclasses and its characteristic houses through specializing the parameters that are new and no longer studied in association with the Erdély–Kober operator thus far.

Preserving Classes of Meromorphic Functions through Integral Operators

We consider three new classes of meromorphic functions defined by an extension of the Wanas operator and two integral operators, in order to study some preservation properties of the classes. The purpose of the paper is to find the conditions such that, when we apply the integral operator Jp,γ to some function from the new defined classes ΣSp,qn(α,δ), respectively ΣSp,qn(α), we obtain also a function from the same class. We also define a new integral operator on the class of meromorphic functions, denoted by Jp,γ,h, where h is a normalized analytic function on the unit disc. We study some basic properties of this operator. Then we look for the conditions which allow this operator to preserve a particular subclass of the classes mentioned above.

Q-Meromorphic closed-to-convex functions related with Janowski function

In the present paper, we introduce and explore certain new classes of meromorphic functions related with closed-to-convexity and q-calculus. Such results as coefficient estimates, grow the property and partial sums are derived. It is important to mentioned that our results are generalization of number of existing results in literature.

NEW SUBCLASS OF MEROMORPHIC FUNCTIONS BY THE GENERALIZATION OF THE q-DERIVATIVE OPERATOR

In this paper, we introduce a new class of meromorphic functions, using the exponent $ q $-derivative operator, and then look at it coefficient estimates, extreme points, convex linear combination, Radii of starlikeness, convexity and finally partial sum property are investigated.

Application of Quasisubordination to Certain Classes of Meromorphic Functions

Inequalities play a fundamental role in many branches of mathematics and particularly in real analysis. By using inequalities, we can find extrema, point of inflection, and monotonic behavior of real functions. Subordination and quasisubordination are important tools used in complex analysis as an alternate of inequalities. In this article, we introduce and systematically study certain new classes of meromorphic functions using quasisubordination and Bessel function. We explore various inequalities related with the famous Fekete-Szego inequality. We also point out a number of important corollaries.

An old new class of meromorphic functions

Based on the so-called rescaling method, we give a detailed description of the solutions of the Hamiltonian system (1) below, which was discovered only recently by Kecker and is strongly related to Painleve’s fourth differential equation. In particular, the problem of determining those fourth Painleve transcendents with positive Nevanlinna deficiency δ(0,w) is completely resolved.

A subclass of meromorphic functions defined by a certain integral operator on Hilbert space

In the present paper, we introduce and investigate a new class of meromorphic functions associated with an integral operator, by using Hilbert space operator. For this class, we obtain coefficient inequality, extreme points, radius of close-to-convex, starlikeness and convexity, Hadamard product and integral means inequality.

A New Class of Meromorphic Functions Involving the Polylogarithm Function

We introduce a new operator Dcf(z) associated with polylogarithm function. By making use of the new operator, we define a certain new class of meromorphic functions and discussed some important properties of it.

Multivalently meromorphic functions with two fixed points defined by Srivastava-Attiya operator

In the present investigation we deflne a new class of meromorphic functions on the punctured unit disk U ⁄ := fz 2 C : 0 < jzj < 1g by making use of the Srivastava-Attiya operator. Coe‐cient inequalities, growth and distortion inequalities, as well as radii of meromorphically starlikeness are obtained. We also establish some results concerning the convolution products and inclusion results.

Certain new classes of meromorphic functions related with a convolution operator

Recently, Hussain [Hussain, Saqib (2010). Some applications of Miller-Mocanu lemma on certain classes of meromorphic functions, \textquotedblright Appl. Math. Comput.\textquotedblright , 216(2010), 3016-3021], introduced certain new classes of meromorphic functions using newly defined convolution operators. The purpose of present investigation is to extend the work of Hussain by considering some new classes of meromorphic functions. We derive some inclusion relationships, coefficient bound, integral representation and extreme point theorem.

On certain class of meromorphic functions with positive coefficients

In the present investigation we define a new class of meromorphic functions on the punctured unit disk Δ*:={z∈ℂ:0<|z|<1} by making use of the generalized Dziok–Srivastava operator Hml[α1]. Coefficient inequalities, growth and distortion inequalities, as well as closure results are obtained. We also establish some results concerning the partial sums of meromorphic functions and neighborhood results for functions in new class.

Classes of meromorphic functions associated with conic regions

The object of this article is to introduce new classes of meromorphic functions associated with conic regions. Several properties like the coefficient bounds, growth and distortion theorems, radii of star likeness and convexity, partial sums, are investigated. Some consequences of the main results for the well-known classes of meromorphic functions are also pointed out.

A New Class of Meromorphic Functions Associated with Spirallike Functions

We introduce a new class of meromorphic functions associated with spirallike functions. Such results as subordination property, integral representation, convolution property, and coefficient inequalities are proved.

On Certain Classes of Meromorphic Functions Associated with Conic Domains

Making use of the concept of k‐uniformly bounded boundary rotation and Ruscheweyh differential operator, we introduce some new classes of meromorphic functions in the punctured unit disc. Convolution technique and principle of subordination are used to investigate these classes. Inclusion results, generalized Bernardi integral operator, and rate of growth of coefficients are studied. Some interesting consequences are also derived from the main results.

On algebraic differential properties of the Riemann ζ-function and the Euler Γ-function

We discuss some recent results on algebraic differential properties of the Riemann ζ-function and the Euler Γ-function and prove two results in this direction. Especially, we will define a new class of meromorphic functions in terms of zeros of the Riemann ζ-function on the critical line and prove that algebraic equations with coefficients in this class cannot be satisfied by the Riemann ζ-function and the Euler Γ-function.

Some applications of Miller–Mocanu lemma on certain classes of meromorphic functions

In this paper, making use of a linear operator we introduce and study certain new classes of meromorphic functions. We derive some inclusion results. These classes contain many known classes as a special case.

Partial sums for certain classes of meromorphic functions

In this paper, we define and study new classes of meromorphic functions in the punctured disk by using their partial sums.

Classes of Meromorphic Functions Defined by the Hadamard Product

The object of the present paper is to introduce new classes of meromorphic functions with varying argument of coefficients defined by means of the Hadamard product (or convolution). Several properties like the coefficients bounds, growth and distortion theorems, radii of starlikeness and convexity, and partial sums are investigated. Some consequences of the main results for well‐known classes of meromorphic functions are also pointed out.

Inclusion properties of certain classes of meromorphic functions associated with the generalized hypergeometric function

The purpose of the present paper is to introduce several new classes of meromorphic functions defined by using a meromorphic analogue of the Choi–Saigo–Srivastava operator for the generalized hypergeometric function and investigate various inclusion properties of these classes. Some interesting applications involving these and other classes of integral operators are also considered.