APPLICATION OF GEGENBAUER POLYNOMIALS TO CERTAIN CLASSES OF BI-UNIVALENT FUNCTIONS OF ORDER

KOREAN JOURNAL OF MATHEMATICS(2024)

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摘要
In this paper, a new class of bi-univalent functions that are described by Gegenbauer polynomials is presented. We obtain the estimates of the Taylor-Maclaurin coefficients |m(2)| and |m(3)| for each function in this class of bi-univalent functions. In addition, the Fekete-Szego problems function new are also studied.
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关键词
bi-univalent functions,Holomorphic functions,Gegenbauer polynomials,Fekete and Szego problem
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