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Research Article | Open Access

Certain subfamily of multivalently Bazilevič and non-Bazilevič functions involving the bounded boundary rotation

Tamer M. Seoudy1( ), Amnah E. Shammaky2
Department of Mathematics, Jamoum University College, Umm Al-Qura University, Makkah, Saudi Arabia
Department of Mathematics, Faculty of Science, Jazan University, Jazan 45142, Saudi Arabia
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Abstract

In the present paper, we introduce a certain subfamily of multivalently Bazilevič and non-Bazilevič functions associated with bounded boundary rotation to study some interesting properties, inclusion results, and the upper bounds of the initial Taylor-Maclaurin coefficients for functions in this subfamily. In addition, some special cases of this subfamily are also discussed.

Keywords

analytic functionsBazilevičfunctionnon-Bazilevičfunctionbounded boundary rotation
CLC number: 30C45

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AIMS Mathematics
Volume 10 Issue 5,
May 2025
Pages 12745-12760
DOI: 10.3934/math.2025574

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Cite this article:
Seoudy TM, Shammaky AE. Certain subfamily of multivalently Bazilevič and non-Bazilevič functions involving the bounded boundary rotation. AIMS Mathematics, 2025, 10(5): 12745-12760. https://doi.org/10.3934/math.2025574

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Received: 06 February 2025
Revised: 13 May 2025
Accepted: 27 May 2025
Published: 15 May 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)