Coefficient Problems on Bi-Univalent Functions With \((p,q)\)-Gegenbauer Polynomials

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DOI:

https://doi.org/10.26713/cma.v15i3.2742

Keywords:

Taylor-Maclaurin series, Starlike functions, Convex functions, Biunivalent functions, Coefficient bounds, Fekete-Szegö inequality, (p, q)-Gegenbauer polynomials

Abstract

In this paper, our main aim is to study a new subclass of bi-univalent functions and to obtain initial coefficient bounds of starlike and convex bi-univalent functions involving \((p,q)\)-Gegenbauer polynomials. Also, we aim at obtaining sharp bound for Fekete-Szegö functional.

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References

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Published

November 30, 2024

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Research Article

How to Cite

Raju, R. G., Salestina, M. R., & Gatti, N. B. (2024). Coefficient Problems on Bi-Univalent Functions With \((p,q)\)-Gegenbauer Polynomials. Communications in Mathematics and Applications, 15(3), 1011-1019. https://doi.org/10.26713/cma.v15i3.2742