Certain results on a class of analytic functions involving q-hypergeometric series

Abstract

Based on [Formula: see text]-Hypergeometric Series, a linear operator [Formula: see text] is considered and involving this operator a class [Formula: see text] of analytic functions is defined by using [Formula: see text]-derivatives. As a special case, a class [Formula: see text] by involving [Formula: see text]-analogue of Hohlov operator [Formula: see text] is defined. Coefficient inequality for a function [Formula: see text] to be in the class [Formula: see text] is obtained. Further, in terms of subordination, an equivalent condition for a function [Formula: see text] to be in this class is given and using this equivalent class condition results on coefficient estimates including Fekete–Szegö inequality and a convolution result are obtained.