Coefficient Estimates for a Novel Subclass of Analytic and Biunivalent Functions

Seyed Hadi Hosseini; Ahmad Motamednezhad

doi:10.31801/cfsuasmas.1637685

Coefficient Estimates for a Novel Subclass of Analytic and Biunivalent Functions

Abstract

This paper introduces and explores a novel subclass $\mathcal{R}_{\Sigma}^{h,p}(\lambda,\gamma)$ of bi-univalent functions within the open unit disk $\mathbb{U}$. We establish upper bounds for the second, third, and fourth coefficients of functions belonging to this class. Furthermore, we derive estimates for the Fekete-Szegö problem in this context. The results, presented in this study extend and enhance several recent works by earlier authors.

Keywords

References

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Details

Primary Language

English

Subjects

Real and Complex Functions (Incl. Several Variables)

Journal Section

Research Article

Authors

Seyed Hadi Hosseini
0009-0002-0099-1468
Iran

Ahmad Motamednezhad ^*
0000-0001-6844-129X
Iran

Publication Date

March 29, 2026

Submission Date

February 11, 2025

Acceptance Date

August 17, 2025

Published in Issue

Year 2026 Volume: 75 Number: 1

DOI

https://doi.org/10.31801/cfsuasmas.1637685

IZ

https://izlik.org/JA29DC78WB

Cite

RIS / Bibtex

APA

Hosseini, S. H., & Motamednezhad, A. (2026). Coefficient Estimates for a Novel Subclass of Analytic and Biunivalent Functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 75(1), 113-126. https://doi.org/10.31801/cfsuasmas.1637685

AMA

1.Hosseini SH, Motamednezhad A. Coefficient Estimates for a Novel Subclass of Analytic and Biunivalent Functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2026;75(1):113-126. doi:10.31801/cfsuasmas.1637685

Chicago

Hosseini, Seyed Hadi, and Ahmad Motamednezhad. 2026. “Coefficient Estimates for a Novel Subclass of Analytic and Biunivalent Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 75 (1): 113-26. https://doi.org/10.31801/cfsuasmas.1637685.

EndNote

Hosseini SH, Motamednezhad A (March 1, 2026) Coefficient Estimates for a Novel Subclass of Analytic and Biunivalent Functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 75 1 113–126.

IEEE

[1]S. H. Hosseini and A. Motamednezhad, “Coefficient Estimates for a Novel Subclass of Analytic and Biunivalent Functions”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 75, no. 1, pp. 113–126, Mar. 2026, doi: 10.31801/cfsuasmas.1637685.

ISNAD

Hosseini, Seyed Hadi - Motamednezhad, Ahmad. “Coefficient Estimates for a Novel Subclass of Analytic and Biunivalent Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 75/1 (March 1, 2026): 113-126. https://doi.org/10.31801/cfsuasmas.1637685.

JAMA

1.Hosseini SH, Motamednezhad A. Coefficient Estimates for a Novel Subclass of Analytic and Biunivalent Functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2026;75:113–126.

MLA

Hosseini, Seyed Hadi, and Ahmad Motamednezhad. “Coefficient Estimates for a Novel Subclass of Analytic and Biunivalent Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 75, no. 1, Mar. 2026, pp. 113-26, doi:10.31801/cfsuasmas.1637685.

Vancouver

1.Seyed Hadi Hosseini, Ahmad Motamednezhad. Coefficient Estimates for a Novel Subclass of Analytic and Biunivalent Functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2026 Mar. 1;75(1):113-26. doi:10.31801/cfsuasmas.1637685