Gegenbauer polynomials for certain subclasses of Bazilevic functions associated with a generalized operator defined by convolution

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Ezekiel Abiodun Oyekan

Abstract

In this paper, a class Gη_1,η_2β(α,t), consisting of Bazilevic functions of type α and involving a certain generalized differential operator is defined by means of Gegenbauer polynomials. Initial coefficient bounds and Fekete-Szego estimates for functions belonging to this class are obtained. Furthermore, upon varying the involving parameters  in our main results, a number of known and new results are stated as corollaries. 

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How to Cite
Oyekan, E. A. (2023). Gegenbauer polynomials for certain subclasses of Bazilevic functions associated with a generalized operator defined by convolution. Gulf Journal of Mathematics, 14(2), 77-88. https://doi.org/10.56947/gjom.v14i2.967
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