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A New Comprehensive Subclass of Analytic Bi-Univalent Functions Related to Gegenbauer Polynomials

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In the current study, we provide a novel qualitative new subclass of analytical and bi-univalent functions in the symmetry domain U defined by the use of Gegenbauer polynomials. We derive… Click to show full abstract

In the current study, we provide a novel qualitative new subclass of analytical and bi-univalent functions in the symmetry domain U defined by the use of Gegenbauer polynomials. We derive estimates for the Fekete–Szegö functional problems and the Taylor–Maclaurin coefficients a2 and a3 for the functions that belong to each of these new subclasses of the bi-univalent function classes. Some more results are revealed after concentrating on the parameters employed in our main results.

Keywords: gegenbauer polynomials; new comprehensive; univalent functions; comprehensive subclass

Journal Title: Symmetry
Year Published: 2023

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