A CLASS OF MEROMORPHIC FUNCTIONS WITH POSITIVE COEFFICIENTS INVOLVING POLYLOGARITHM FUNCTIONS

Abstract

In this paper, we introduce and study a new subclass of meromorphic functions with positive coefficients involving the Polylogaritham function defined by a new operator~ $\mathfrak{D}_c f(z)$~ and obtain coefficient estimates, growth and distortion theorem, radius of convexity, integral transforms,convex linear combinations,convolution properties and~ $\delta-$neighborhoods for the class~ $\sigma_{c,p}(\alpha).$