English

Differential Subordination implications for Certain Carath\'{e}odory functions

Complex Variables 2021-03-09 v1

Abstract

In this article, we wish to establish some first order differential subordination relations for certain Carath\'{e}odory functions with nice geometrical properties. Moreover, several implications are determined so that the normalized analytic function belongs to various subclasses of starlike functions.

Keywords

Cite

@article{arxiv.2103.04389,
  title  = {Differential Subordination implications for Certain Carath\'{e}odory functions},
  author = {Meghna Sharma and Sushil Kumar and Naveen Kumar Jain},
  journal= {arXiv preprint arXiv:2103.04389},
  year   = {2021}
}
R2 v1 2026-06-23T23:51:12.830Z