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Research Article | Open Access

Some properties of Bazilevič harmonic functions

Shuhai Li( ), Lina Ma, Xiaomeng Niu, Huo Tang
School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, Inner Mongolia, China
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Abstract

In the paper, a new class of Bazilevič harmonic functions is introduced. First, the sufficient and necessary conditions and integral expressions of the class are proved by the subordination relationship and the basic theory of harmonic functions. Then, the inclusion relation and radius problems are explored, yielding intriguing new findings.

Keywords

harmonic functionsBazilevič functionssubordinationinclusion relationradiusdeviation
CLC number: 30C45, 30C50, 30C62

References

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AIMS Mathematics
Volume 10 Issue 8,
August 2025
Pages 18824-18837
DOI: 10.3934/math.2025841

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Cite this article:
Li S, Ma L, Niu X, et al. Some properties of Bazilevič harmonic functions. AIMS Mathematics, 2025, 10(8): 18824-18837. https://doi.org/10.3934/math.2025841

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Received: 18 March 2025
Revised: 05 June 2025
Accepted: 08 August 2025
Published: 15 August 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)