New Criteria for Meromorphic Multivalent Alpha-Convex Functions

The aim of the present paper is to obtain sufficient condition for the class of meromorphic p-valent alpha convex functions of order ξ and then to study mapping properties of the newly defined integral operators. Many known results appeared as special consequences of our work

Some properties of meromorphic alpha-convex functions and its applications

The aim of the present paper is to obtain sufficient condition for the class of meromorphic alpha convex functions of order ζ and then to study mapping properties of an integral operator. Many known results apear as special consequences ofour wor

A subclass of meromorphic Janowski-type multivalent q-starlike functions involving a q-differential operator

Keeping in view the latest trends toward quantum calculus, due to its various applications in physics and applied mathematics, we introduce a new subclass of meromorphic multivalent functions in Janowski domain with the help of the q-differential operator. Furthermore, we investigate some useful geometric and algebraic properties of these functions. We discuss sufficiency criteria, distortion bounds, coefficient estimates, radius of starlikeness, radius of convexity, inclusion property, and convex combinations via some examples and, for some particular cases of the parameters defined, show the credibility of these results. © 2022, The Author(s)

Argument estimates of certain classes of P-Valent meromorphic functions involving certain operator

In this paper, by making use of subordination , we investigate some inclusion relations and argument properties of certain classes of p-valent meromorphic functions involving certain operator

A class of p-valent meromorphic functions defined by the Liu–Srivastava operator

We introduce a subclass of p-valent meromorphic functions involving the Lui–Srivastava operator and investigate various properties of this subclass. We also indicate the relationships between various results presented in the paper and the results obtained in earlier works.Введено підклас p-валентних мероморфних Функцій, що визначаються оператором Луі - Шрiвастави, та вивчено різноманітні властивості цього підкласу. Також вказано співвідношення між різноманітними результатами, що отримані в роботі, та результатами, отриманими раніш

Properties of Meromorphic Spiral-Like Functions Associated with Symmetric Functions

To consolidate or adapt to many studies on meromorphic functions, we define a new subclass of meromorphic functions of complex order involving a differential operator. The defined function class combines the concept of spiral-like functions with other studies pertaining to subclasses of multivalent meromorphic functions. Inclusion relations, integral representation, geometrical interpretation, coefficient estimates and solution to the Fekete-Szegö problem of the defined classes are the highlights of this present study. Further to keep up with the present direction of research, we extend the study using quantum calculus. Applications of our main results are given as corollaries

SOME FAMLIES OF MEROMORPHIC MULTIVALENT FUNCTIONS INVOLVING CERTAIN LINEAR OPERATOR

Abstract Let $\sum_{p}$ denote the class of functions of the form $\mathrm{f}(\mathrm{z})=z^{-p}+\sum_{k-0}^{\infty}a_{k}z^{k}$ $(p\in N=\{1,2,3,\cdots\})$ which are analytic and $p$ valent in the punctured disc D=\{z:0<|z |<1\} . We introduce and study some new families of meromorphic multivalent functions defined by certain linear operator. Anumber of useful characteristics of fimctions in these families are obtained. In particular, some properties of neighborhoods of functions in these families are given