Coefficient bounds for regular and bi-univalent functions linked with Gegenbauer polynomials

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Swamy Sondekola Rudra
Waggas Galib Atshan

Abstract

Making use of Gegenbauer polynomials, we initiate and explore two sets of normalized regular and bi-univalent (or bi-Schlicht) functions in the unit disc linked with Gegenbauer polynomials. We investigate certain coefficients bounds and the Fekete-Szego functional for functions in these families. We also present few interesting observations and provide relevant connections of the results investigated.

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How to Cite
Sondekola Rudra, S., & Galib Atshan, W. (2022). Coefficient bounds for regular and bi-univalent functions linked with Gegenbauer polynomials. Gulf Journal of Mathematics, 13(2), 67-77. https://doi.org/10.56947/gjom.v13i2.723
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