# Coefficient bounds for starlike functions involving q− Hurwitz-Lerch Zeta operator in conic region

## TL;DR

This paper introduces a new family of analytic functions based on the q-Hurwitz-Lerch Zeta function and explores their properties in conic regions.

## Contribution

The paper introduces a novel family of analytic functions and derives new coefficient bounds for starlike functions in conic domains.

## Key findings

- Coefficient estimates for Janowski starlike functions are derived.
- Subordination results are established for functions in symmetric conic domains.
- Contraction coefficient inequalities are discussed for the new function family.

## Abstract

In this paper, we generalize a family of q-Hurwitz-Lerch Zeta function by means of constructing and investigating a new family of analytic functions. Some novel findings are discussed like contraction coefficient inequality and other important concepts, some of which are: partial sums, coefficient estimates, subordination results for Janowski starlike functions related with symmetric conic domains.