与Gegenbauer多项式联系的正则函数和双一元函数的系数界

Gulf Journal of Mathematics Pub Date : 2022-09-16 DOI:10.56947/gjom.v13i2.723

Swamy Sr, Waggas Galib Atshan

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引用次数: 1

摘要

利用Gegenbauer多项式，我们在与Gegenbauer多项式相连的单位圆盘上，提出并探索了两组归一化正则函数和双一元函数(或bi-Schlicht)。我们研究了这些族中函数的某些系数界和Fekete-Szego泛函。我们还提出了一些有趣的观察结果，并提供了所调查结果的相关联系。

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

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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Gulf Journal of Mathematics

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