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Open Access Research Article

Bi-univalent functions associated with Gegenbauer polynomials : New subclasses and coefficient properties

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pp. 267–279Vol. 28Issue 1February 2025DOI: 10.47974/JIM-1867XML
Received:
05 Jun 2024
Published Online:
13 Feb 2025
Article type:
Research Article
Language:
EN
Article no.:
JIM-1867
Pages:
267–279

Abstract

In this work we explore three new subclasses of holomorphic and bi-univalent functions, which are characterized using Gegenbauer polynomials. We evidence upper bounds to the third and second coefficients of these functions and moreover establish the Fekete-Szegö inequality for functions within these specific subclasses.

Keywords

Subject Classifications

30C4530C50

References

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