与Gegenbauer多项式联系的正则函数和双一元函数的系数界

IF 0.5 Q3 MATHEMATICS

Problemy Analiza-Issues of Analysis Pub Date : 2022-02-01 DOI:10.15393/j3.art.2022.10351

S. R. Swamy, S. Yalçın

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引用次数: 2

摘要

．利用Gegenbauer多项式，我们探索了D = {z∈C: | z | < 1}中与Gegenbauer多项式连接的两组归一化正则双一元函数(或双schlicht)。我们研究了这些族中的函数的某些系数界和Fekete-Szeg¨o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 D = { z ∈ C : | z | < 1 } linked with Gegenbauer polynomials. We investi-gate certain coeﬃcients bounds and the Fekete-Szeg¨o functional for functions in these families. We also present few interesting observations and provide relevant connections of the results investigated.

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来源期刊

Problemy Analiza-Issues of Analysis MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

20 weeks