Subclasses of meromorphically multivalent functions defined by a differential operator

In this paper we introduce and study two new subclasses \Sigma_{\lambda\mu mp}(\alpha,\beta)$and$\Sigma^{+}_{\lambda\mu mp}(\alpha,\beta)$of meromorphically multivalent functions which are defined by means of a new differential operator. Some results connected to subordination properties, coefficient estimates, convolution properties, integral representation, distortion theorems are obtained. We also extend the familiar concept of$% (n,\delta)-$neighborhoods of analytic functions to these subclasses of meromorphically multivalent functions

On a Certain Subclass of Meromorphic Functions Defined by a New Linear Differential Operator

In this article, a new linear differential operator I^k (L_s^a (a_l,b_m )f(z)) is defined by using the Hadamard product of the q-hypergeometric function and a function related to the Hurwitz-Lerch zeta function. By using this linear differential operator, a new subclass L_(s,a)^(k,*) (α_l,β_m;A,B,b) of meromorphic functions is defined. Some properties and characteristics of this subclass are considered. These include the coefficient inequalities, the growth and distortion properties and the radii of meromorphic starlikeness and meromorphic convexity. Finally, closure theorems and extreme points are introduced

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

Inclusion Properties on a Class of Meromorphic Functions Defined by a Linear Operator

In the present paper, we study a certain class of meromorphic univalent functions f(z) dened by the linear operator L(α,β) f (z). The aim of the present paper is to prove some properties for the class Σα,β,kλ;(h) to satisfy the certain subordination.AMS Subject Classication: 30C4

Subclasses of Multivalent Meromorphic Functions with a Pole of Order p at the Origin

In this paper, we carry out a systematic study to discover the properties of a subclass of meromorphic starlike functions defined using the Mittag–Leffler three-parameter function. Differential operators involving special functions have been very useful in extracting information about the various properties of functions belonging to geometrically defined function classes. Here, we choose the Prabhakar function (or a three parameter Mittag–Leffler function) for our study, since it has several applications in science and engineering problems. To provide our study with more versatility, we define our class by employing a certain pseudo-starlike type analytic characterization quasi-subordinate to a more general function. We provide the conditions to obtain sufficient conditions for meromorphic starlikeness involving quasi-subordination. Our other main results include the solution to the Fekete–Szegő problem and inclusion relationships for functions belonging to the defined function classes. Several consequences of our main results are pointed out

CERTAIN SUBCLASSES OF P-VALENT MEROMORPHIC CONVEX FUNCTIONS ASSOCIATED WITH MOSTAFA OPERATOR

In this paper we study certain subclasses of analytic p-valent meromorphic convex functions with positive coefficients in the puncture unit disk. The result presented coefficient estimate, growth and distortion properties for functions belonging to this subclasses. Further results of modified hadamard product, inclusion properties, radii of close-to-convexity; starlikeness and convexity for functions belonging to the subclasses are discussed. Keywords: p-Valent meromorphic functions, convex function, Modified Hadamard product, inclusion properties and radii of starlikeness. AMS Subject Classification: 30C4

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 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