We obtain certain simple sufficiency criteria for a class of p-valent alpha convex functions. Many known results appear as special consequences of our work. Some applications of our work to the generalized integral operator are also given.

Using the principle of subordination, we obtain some inclusion properties of subclasses of p-valent functions defined by multiplier transformation. Also inclusion properties of classes involving the generalized Libera integral operator are obtained. 2000 Mathematics Subject Classification: 30C45.

The authors would like to thank the referees for their helpful suggestions which essentially improved the presentation of this paper. Abstract. In this paper, we introduce a new subclass of meromorphic functions and investigate inclusion relationships and properties of a certain class of meromorphically p-valent functions, which are defined by means of the familiar operator involving the genera...

We introduce a class Σ∗λ,p,α of meromorphic p-valent functions with negative coefficients. The main object of this paper is to investigate various important properties and characteristics of this class. Further many interesting results for the Hadamard product of functions belonging to the class Σ∗λ,p,α is obtained. 2000 Mathematics Subject Classification: 30C45.

This paper introduces and studies a new class of analytic p-valent functions in the open symmetric unit disc involving Sălăgean-type q-difference operator. Furthermore, we present several interesting subordination results, coefficient inequalities, fractional q-calculus applications, distortion theorems.

It is well-known that the classes of starlike, convex and close-to-convex univalent functions are closed under convolution with convex functions. In this paper, closure properties under convolution of general classes of meromorphic p-valent functions that are either starlike, convex or close-to-convex with respect to n-ply symmetric, conjugate and symmetric conjugate points are investigated. 20...

The aim of the present paper is to introduce and study some new subclasses p-valent functions by making use a linear q-differential Borel operator.We also deduce properties, such as inclusion relationships newly introduced classes integral operator Jμ,p.