与SAKAGUCHI型函数相关的BAZILEVIČ和Γ-拟星型二元函数新族的系数界

Poincare Journal of Analysis and Applications Pub Date : 2022-12-31 DOI:10.46753/pjaa.2022.v09i02.007

A. Kareem, †. Wanas, Hussein Kadhim Radhi, †. MuratÇağlar

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引用次数: 1

摘要

在本文中，我们引入并研究了两个新的正规化全纯函数和双一价函数族Z∑（θ，η，ξ，t；α）和Z＊∑（θ、η，Γ，t，β），这两个新族涉及Sakaguchi型Bazilevič函数和Sakaguch型Γ-拟星形函数。我们为这些新族中的每个函数建立了初始Taylor-Maclaurin系数|a2|和|a3|的界。此外，还指出了某些特殊情况以及对我们结果的影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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COEFFICIENT BOUNDS FOR NEW FAMILIES OF BAZILEVIČ AND ϕ-PSEUDO-STARLIKE BI-UNIVALENT FUNCTIONS ASSOCIATED WITH SAKAGUCHI TYPE FUNCTIONS

. In this research paper, we introduce and study two new families Z Σ ( θ,η,ϕ,t ; α ) and Z ∗ Σ ( θ,η,ϕ,t ; β ) of normalized holomorphic and bi-univalent functions which involve the Sakaguchi type Bazilevič functions and Sakaguchi type ϕ -pseudo-starlike functions. We establish the bounds for the initial Taylor-Maclaurin coeﬀicients | a 2 | and | a 3 | for functions in each of these new families. Further, certain several special cases and consequences for our results are also pointed.

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来源期刊

Poincare Journal of Analysis and Applications Mathematics-Applied Mathematics

CiteScore

0.60

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0.00%

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