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Research Article | Open Access

On geometric properties of a class of generalized Bazilevič harmonic functions

Shuhai Li( ), Lina Ma
School of Mathematics and Computing Science, Chifeng University, Inner Mongolia 024000, China
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Abstract

In this paper, we introduce and study a class of generalized harmonic functions related to the Bazilevič function. We establish necessary and sufficient coefficient conditions, growth estimates, and convex combination properties for this class. Several new results are obtained, extending known properties from analytic to harmonic mappings.

Keywords

harmonic univalent functionBazilevičharmonic functionscoefficient estimatesgrowth estimates
CLC number: 30C45, 30C50, 30C80

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AIMS Mathematics
Volume 11 Issue 4,
April 2026
Pages 10518-10532
DOI: 10.3934/math.2026433

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Li S, Ma L. On geometric properties of a class of generalized Bazilevič harmonic functions. AIMS Mathematics, 2026, 11(4): 10518-10532. https://doi.org/10.3934/math.2026433

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Received: 16 February 2026
Revised: 28 March 2026
Accepted: 02 April 2026
Published: 17 April 2026
©2026 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)