On analytic functions with reference to the Bernardi integral operator

Abstract

Bernardi has proved that if f if starlike univalent in the uni disc E , then so is the function g given by In the first part of the paper, we extend Bernardi's theorem to a certain class of p -valent starlike functions in E . We prove that if then g , defined by also belongs to . In the second part of the paper we examine the converse problem for functions with negative coefficients, satisfying certain conditions.