# Coefficient Estimates for Certain Subclass of Analytic Functions Defined by Subordination

## TL;DR

This paper establishes coefficient bounds for specific subclasses of analytic functions defined via subordination, addressing open problems related to starlike and convex functions, and applying Jack's lemma.

## Contribution

It provides new coefficient estimates for subclasses of analytic functions defined by subordination, solving open problems and applying Jack's lemma.

## Key findings

- Derived coefficient bounds for subclasses of analytic functions
- Solved open problems related to starlike and convex functions
- Applied Jack's lemma to specific subclasses

## Abstract

In this article we determine the coefficient bounds for functions in certain subclasses of analytic functions defined by subordination which are related to the well-known classes of starlike and convex functions. The main results deal with some open problems proposed by Q.H. Xu et al. [20,21]. An application of Jack lemma for certain subclass of starlike functions has been discussed.