Univalent Criteria for Analytic Functions Involving Schwarzian Derivative

Authors

  • Zhenyong Hu School of Mathematical Sciences, Anhui University, Hefei, 230601
  • Qihan Wang School of Mathematical Sciences, Anhui University, Hefei, 230601
  • Liangmiao He School of Mathematical Sciences, Anhui University, Hefei, 230601
  • Boyong Long School of Mathematical Sciences, Anhui University, Hefei, 230601

DOI:

https://doi.org/10.13447/j.1674-5647.2019.04.08

Keywords:

analytic function, univalent function, Schwarzian derivative, univalent criteria.

Abstract

In this paper, some new criteria for univalence of analytic functions defined in the unit disk in terms of two parameters are presented. Moreover, the related result of Aharonov and Elias (Aharonov D, Elias U. Univalence criteria depending on parameters. $Anal$. $Math$. $Phys$., 2014, 4(1-2): 23–34) is generalized.

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Published

2019-12-16

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Issue

Vol. 35 No. 4 (2019)

Section

Articles

How to Cite

Univalent Criteria for Analytic Functions Involving Schwarzian Derivative. (2019). Communications in Mathematical Research, 35(4), 359-366. https://doi.org/10.13447/j.1674-5647.2019.04.08