English

Subordination Involving Gauss Hypergeometric Function

Complex Variables 2025-03-21 v3

Abstract

The primary objective of this work is to obtain some sufficient conditions so that normalized Gauss hypergeometric function satisfies exponential starlikeness and convexity in the unit disk. Moreover, conditions on parameter of this function has been derived for being Janowski convexity and starlikeness with the help of differential subordination. Results established in this work are presumably new and their significance is illustrated by several consequences.

Keywords

Cite

@article{arxiv.2405.01869,
  title  = {Subordination Involving Gauss Hypergeometric Function},
  author = {Anish Kumar and Sourav Das},
  journal= {arXiv preprint arXiv:2405.01869},
  year   = {2025}
}
R2 v1 2026-06-28T16:15:09.578Z