On certain classes of meromorphically p-valent convex function

Abstract

Making use of a differential operator, which is defined here by means of the Hadamard product (or convolution), we introduce the class $sum^n_p (alpha_1,beta_1;lambda)$ of meromorphically p-valent convex functions. The main object of this paper is to investigate various important properties and characteristics for this class. Further, a property preserving integrals is considered.