Certain studies of the Liu-Srivastava linear operator on meromorphic functions

Abstract

Motivated by the Liu-Srivastava linear operator, we introduce here a modification of the operator of multivalent meromorphic functions in the punctured unit disk. A new subclass of analytic functions involving this operator is given. Some sufficient conditions for star-likeness, which generalize and refine some previous results were determined. Key words: Hypergeometric function, Liu-Srivastava linear operator, convolution, meromorphic function, univalent functions, starlike functions, convex functions, -convex function, Carlson-Shaffer linear operator, Ruscheweyh derivative operator.