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

Tamer M. Seoudy; Amnah E. Shammaky; Tamer M. Seoudy; Amnah E. Shammaky

doi:10.3934/math.2025574

AIMS Mathematics

2025, Volume 10, Issue 5: 12745-12760. doi: 10.3934/math.2025574

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Research article

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

Tamer M. Seoudy ^{1
,
,},
Amnah E. Shammaky ²

1.
Department of Mathematics, Jamoum University College, Umm Al-Qura University, Makkah, Saudi Arabia
2.
Department of Mathematics, Faculty of Science, Jazan University, Jazan 45142, Saudi Arabia

Received: 06 February 2025 Revised: 13 May 2025 Accepted: 27 May 2025 Published: 30 May 2025
MSC : 30C45

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.
- analytic functions,
- Bazilevičfunction,
- non-Bazilevičfunction,
- bounded boundary rotation
Citation: Tamer M. Seoudy, Amnah E. Shammaky. Certain subfamily of multivalently Bazilevič and non-Bazilevič functions involving the bounded boundary rotation[J]. AIMS Mathematics, 2025, 10(5): 12745-12760. doi: 10.3934/math.2025574

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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.

References

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