English

Radius Constants of Sigmoid Starlike Functions

Complex Variables 2022-08-03 v1

Abstract

In the present investigation, we study the class of Sigmoid starlike functions, given by SSG={fA:zf(z)/f(z)2/(1+ez)}\mathcal{S}^*_{SG}=\{f\in\mathcal{A}: {zf'(z)}/{f(z)}\prec 2/(1+e^{-z})\} in context of estimating the sharp radius constants associated with several known subclasses of starlike functions. Further, graphical validation for the sharpness of results is also provided.

Keywords

Cite

@article{arxiv.2208.01241,
  title  = {Radius Constants of Sigmoid Starlike Functions},
  author = {Priyanka Goel and S. Sivaprasad Kumar},
  journal= {arXiv preprint arXiv:2208.01241},
  year   = {2022}
}
R2 v1 2026-06-25T01:24:09.431Z