On a symmetric $q$-Srivastava-Attiya Operator and related class of functions

Abstract

A symmetric $q$-analogue of the well known Hurwitz-Lerch Zeta function is defined which in turn defines the symmetric $q$-Srivastava-Attiya operator. A new family of certain analytic functions involving the symmetric $q$-derivative and symmetric $q$-Srivastava-Attiya operator is taken into account and coefficient based results are obtained. Special cases of the results obtained are also discussed.