Normalized Wright Functions with Negative Coefficients and Some of Their Integral Transforms

Abstract

The purpose of the present paper is to investigate some characterization for the normalized Wright functions to be in the subclass T(alpha, beta)(alpha is an element of [0, 1) , beta is an element of [0,1)) of analytic functions in the open unit disk. Several sufficient conditions were obtained for the parameters of the normalized form of the Wright functions to be in this class. Some geometric properties of integral transforms involving normalized Wright functions are also studied. The results obtained here are new and their usefulness is depicted by deducing several interesting corollaries and examples.