Subclass of Analytic Functions Connected with Double Zeta Function

Abstract

In this survey-cum-expository work, we primarily seek to study many families of the renowned Hurwitz–Lerch Zeta mapping, including the so-called generalized Hurwitz–Lerch Zeta mappings. The purpose of this study is to examine a new subclass of Hurwitz–Lerch Zeta mappings with negative coefficients in the unit disc U={z∈C:|z|<1}. We explore fundamental characteristics of the defined class, such as coefficient inequality, neighborhoods, partial sums, and integral means properties.