Univalent Criteria for Analytic Functions Involving Schwarzian Derivative

Univalent Criteria for Analytic Functions Involving Schwarzian Derivative

Year:    2019

Author:    Zhenyong Hu, Qihan Wang, Liangmiao He, Boyong Long

Communications in Mathematical Research , Vol. 35 (2019), Iss. 4 : pp. 359–366

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Communications in Mathematical Research , Vol. 35 (2019), Iss. 4 : pp. 359–366

Published online:    2019-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    analytic function univalent function Schwarzian derivative univalent criteria.

Author Details

Zhenyong Hu

Qihan Wang

Liangmiao He

Boyong Long