SUBCLASS OF BAZILEVIC̆ AND λ-PSEUDO-STARLIKE BI-UNIVALENT FUNCTIONS ASSOCIATED WITH SAKAGUCHI TYPE FUNCTIONS AND ITS APPLICATION TO FIBONACCI-LIKE POLYNOMIAL

Hasan Hüseyin Güleç; İbrahim Aktaş

doi:10.18038/estubtda.1665080

EN

SUBCLASS OF BAZILEVIC̆ AND λ-PSEUDO-STARLIKE BI-UNIVALENT FUNCTIONS ASSOCIATED WITH SAKAGUCHI TYPE FUNCTIONS AND ITS APPLICATION TO FIBONACCI-LIKE POLYNOMIAL

Abstract

In this paper, we first introduce a new subclass of analytic and bi-univalent functions related to Sakaguchi type functions, λ-pseudo-starlike and, Bazilevič functions. We also use the generalized bivariate Fibonacci-like polynomial as a subordination function. In addition, we provide function examples to show that this class of functions is a non-empty set. We then establish bounds on certain coefficients of the Maclaurin series expansion of the functions belonging to this newly constructed subclass of bi-univalent functions. We also establish bounds on the Fekete-Szegö functional of the functions in the defined subclass. We note that the comprehensive function class in this work generalizes some previously studied function classes, and the results of this study re-establish certain results in the previously published papers

Keywords

Analytic function, Bazilevič functions, Bi-univalent function, Starlike functions, Fibonacci-like polynomial

References

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Details

Primary Language

English

Subjects

Applied Mathematics (Other)

Journal Section

Research Article

Authors

Hasan Hüseyin Güleç
0000-0001-8033-6273
Türkiye

İbrahim Aktaş ^*
0000-0003-4570-4485
Türkiye

Publication Date

September 25, 2025

Submission Date

March 25, 2025

Acceptance Date

August 9, 2025

Published in Issue

Year 2025 Volume: 26 Number: 3

DOI

https://doi.org/10.18038/estubtda.1665080

IZ

https://izlik.org/JA69CG93BZ

APA

Güleç, H. H., & Aktaş, İ. (2025). SUBCLASS OF BAZILEVIC̆ AND λ-PSEUDO-STARLIKE BI-UNIVALENT FUNCTIONS ASSOCIATED WITH SAKAGUCHI TYPE FUNCTIONS AND ITS APPLICATION TO FIBONACCI-LIKE POLYNOMIAL. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering, 26(3), 217-230. https://doi.org/10.18038/estubtda.1665080

AMA

1.Güleç HH, Aktaş İ. SUBCLASS OF BAZILEVIC̆ AND λ-PSEUDO-STARLIKE BI-UNIVALENT FUNCTIONS ASSOCIATED WITH SAKAGUCHI TYPE FUNCTIONS AND ITS APPLICATION TO FIBONACCI-LIKE POLYNOMIAL. Estuscience - Se. 2025;26(3):217-230. doi:10.18038/estubtda.1665080

Chicago

Güleç, Hasan Hüseyin, and İbrahim Aktaş. 2025. “SUBCLASS OF BAZILEVIC̆ AND λ-PSEUDO-STARLIKE BI-UNIVALENT FUNCTIONS ASSOCIATED WITH SAKAGUCHI TYPE FUNCTIONS AND ITS APPLICATION TO FIBONACCI-LIKE POLYNOMIAL”. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering 26 (3): 217-30. https://doi.org/10.18038/estubtda.1665080.

EndNote

Güleç HH, Aktaş İ (September 1, 2025) SUBCLASS OF BAZILEVIC̆ AND λ-PSEUDO-STARLIKE BI-UNIVALENT FUNCTIONS ASSOCIATED WITH SAKAGUCHI TYPE FUNCTIONS AND ITS APPLICATION TO FIBONACCI-LIKE POLYNOMIAL. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering 26 3 217–230.

IEEE

[1]H. H. Güleç and İ. Aktaş, “SUBCLASS OF BAZILEVIC̆ AND λ-PSEUDO-STARLIKE BI-UNIVALENT FUNCTIONS ASSOCIATED WITH SAKAGUCHI TYPE FUNCTIONS AND ITS APPLICATION TO FIBONACCI-LIKE POLYNOMIAL”, Estuscience - Se, vol. 26, no. 3, pp. 217–230, Sept. 2025, doi: 10.18038/estubtda.1665080.

ISNAD

Güleç, Hasan Hüseyin - Aktaş, İbrahim. “SUBCLASS OF BAZILEVIC̆ AND λ-PSEUDO-STARLIKE BI-UNIVALENT FUNCTIONS ASSOCIATED WITH SAKAGUCHI TYPE FUNCTIONS AND ITS APPLICATION TO FIBONACCI-LIKE POLYNOMIAL”. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering 26/3 (September 1, 2025): 217-230. https://doi.org/10.18038/estubtda.1665080.

JAMA

1.Güleç HH, Aktaş İ. SUBCLASS OF BAZILEVIC̆ AND λ-PSEUDO-STARLIKE BI-UNIVALENT FUNCTIONS ASSOCIATED WITH SAKAGUCHI TYPE FUNCTIONS AND ITS APPLICATION TO FIBONACCI-LIKE POLYNOMIAL. Estuscience - Se. 2025;26:217–230.

MLA

Güleç, Hasan Hüseyin, and İbrahim Aktaş. “SUBCLASS OF BAZILEVIC̆ AND λ-PSEUDO-STARLIKE BI-UNIVALENT FUNCTIONS ASSOCIATED WITH SAKAGUCHI TYPE FUNCTIONS AND ITS APPLICATION TO FIBONACCI-LIKE POLYNOMIAL”. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering, vol. 26, no. 3, Sept. 2025, pp. 217-30, doi:10.18038/estubtda.1665080.

Vancouver

1.Hasan Hüseyin Güleç, İbrahim Aktaş. SUBCLASS OF BAZILEVIC̆ AND λ-PSEUDO-STARLIKE BI-UNIVALENT FUNCTIONS ASSOCIATED WITH SAKAGUCHI TYPE FUNCTIONS AND ITS APPLICATION TO FIBONACCI-LIKE POLYNOMIAL. Estuscience - Se. 2025 Sep. 1;26(3):217-30. doi:10.18038/estubtda.1665080

Abstract

SUBCLASS OF BAZILEVIC̆ AND λ-PSEUDO-STARLIKE BI-UNIVALENT FUNCTIONS ASSOCIATED WITH SAKAGUCHI TYPE FUNCTIONS AND ITS APPLICATION TO FIBONACCI-LIKE POLYNOMIAL

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