Estimation of the Bounds of Some Classes of Harmonic Functions with Symmetric Conjugate Points-Reference-Cited by-同舟云学术

Estimation of the Bounds of Some Classes of Harmonic Functions with Symmetric Conjugate Points

Published:2023-08-25 Issue:9 Volume:15 Page:1639
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Ma Lina¹²,Li Shuhai¹²,Tang Huo¹²

Affiliation:

1. School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, China

2. Laboratory of Mathematics and Complex Systems, Chifeng University, Chifeng 024000, China

Abstract

In this paper, we introduce some classes of univalent harmonic functions with respect to the symmetric conjugate points by means of subordination, the analytic parts of which are reciprocal starlike (or convex) functions. Further, by combining with the graph of the function, we discuss the bound of the Bloch constant and the norm of the pre-Schwarzian derivative for the classes.

Funder

Natural Science Foundation of Inner Mongolia Autonomous Region of China

Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region under Grant

Research Program of science and technology at Universities of Inner Mongolia Autonomous Region

program for Key Laboratory Construction of Chifeng University

Research and Innovation Team of Complex Analysis and Nonlinear Dynamic Systems of Chifeng University

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/9/1639/pdf

Reference28 articles.

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3. Li, Z., Ren, F., Yang, L., and Zhang, S. (1964, January 16–21). A unified treatment of some special classes of univalent functions. Proceedings of the Conference on Complex Analysis, Minneapolis, MN, USA.

4. Some extremal problems for certain families of analytic functions;Janowski;Ann. Pol. Math.,1973

5. On a certain univalent mapping;Sakaguchi;J. Math. Soc. Jpn.,1956

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