In this paper, we define a class R h p,m,β 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 studi...

Abstract In the present paper, by using concept of convolution and q -calculus, we define a certain -derivative (or -difference) operator for analytic multivalent p -valent) functions. This presumably new is an extension known -analogue Ruscheweyh derivative operator. We also give some interesting applications this functions method differential subordination. Relevant connections with number ea...