On geometric properties of a class of generalized Bazilevič harmonic functions

Shuhai Li; Lina Ma; Shuhai Li; Lina Ma

doi:10.3934/math.2026433

AIMS Mathematics

2026, Volume 11, Issue 4: 10518-10532. doi: 10.3934/math.2026433

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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

Received: 16 February 2026 Revised: 28 March 2026 Accepted: 02 April 2026 Published: 17 April 2026
MSC : 30C45, 30C50, 30C80

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.
- harmonic univalent function,
- Bazilevičharmonic functions,
- coefficient estimates,
- growth estimates
Citation: Shuhai Li, Lina Ma. On geometric properties of a class of generalized Bazilevič harmonic functions[J]. AIMS Mathematics, 2026, 11(4): 10518-10532. doi: 10.3934/math.2026433

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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.

References

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