English

Sharp coefficients bounds for Starlike functions associated with Gregory coefficients

Complex Variables 2023-06-06 v1

Abstract

In this paper we introduced the class SG\mathcal{S}_{G}^{\ast } of analytic functions which is related with starlike functions and generating function of Gregory coefficients. By using bounds on some coefficient functionals for the family of functions with positive real part, we obtain for functions in the class SG\mathcal{S}_{G}^{\ast } several sharp coefficient bounds on the first six coeffcients and also further sharp bounds on the corresponding Hankel determinants.

Keywords

Cite

@article{arxiv.2306.02431,
  title  = {Sharp coefficients bounds for Starlike functions associated with Gregory coefficients},
  author = {Sercan Kazımoğlu and Erhan Deniz and Hari Mohan Srivastava},
  journal= {arXiv preprint arXiv:2306.02431},
  year   = {2023}
}
R2 v1 2026-06-28T10:55:54.467Z