Some properties of a class of p-valent analytic functions associated with convolution

Abstract

In this paper, we define a class $Re^g_h (p,m,beta)$ associated with convolution of p-valent analytic functions. Some properties in the form of coefficient inequality, growth and distortion bounds, sufficient conditions with the help of various lemmas, integral means inequality for convolution of two functions and a set of class preserving integral operators of functions belonging to this class are studied. 2000 Mathematics Subject Classifications: Primary 30C45, 30C50, 30C55