Differential Subordination of Certain Class of Starlike Functions

Neha Verma; S. Sivaprasad Kumar

Differential Subordination of Certain Class of Starlike Functions

Complex Variables 2024-01-09 v2

Authors: Neha Verma , S. Sivaprasad Kumar

Abstract

This paper presents several results concerning second and third-order differential subordination for the class $\mathcal{S}^{*}_{e}:=\{f\in \mathcal{A}:zf'(z)/f(z)\prec e^z\}$ , which represents the class of starlike functions associated with exponential function.

Keywords

differential subordination starlike functions exponential function analytic functions

Cite

@article{arxiv.2306.11215,
  title  = {Differential Subordination of Certain Class of Starlike Functions},
  author = {Neha Verma and S. Sivaprasad Kumar},
  journal= {arXiv preprint arXiv:2306.11215},
  year   = {2024}
}

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