On Some Classes of Harmonic Functions Associated with the Janowski Function-Reference-Cited by-同舟云学术

On Some Classes of Harmonic Functions Associated with the Janowski Function

Published:2023-08-25 Issue:17 Volume:11 Page:3666
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

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, we discuss the geometric properties of the classes, such as the integral expression, coefficient estimation, distortion theorem, Jacobian estimation, growth estimates, and covering theorem.

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

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

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/17/3666/pdf

Reference25 articles.

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2. Srivastava, H.M., and Owa, S. (1992). Current Topics in Analytic Function Theory, World Scientific Publishing Company.

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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