Applications of Gegenbauer Polynomials for Two Families of Bi-univalent Functions Associating λ-Pseudo-Starlike and Convex Functions with Sakaguchi Type Functions

Bedaa Alawi Abd,Abbas Kareem Wanas

Journal of Al-Qadisiyah for Computer Science and Mathematics(2024)

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摘要
In the present article, we introduce two families and of holomorphic and bi-univalent functions associating -pseudo-starlike and convex functions with Sakaguchi type functions defined by Gegenbauer polynomials. We derive the initial Maclaurin coefficients estimates and determinate the Fekete-Szeg problem of functions in these families.
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