与勒让德多项式相关的解析函数和双一元函数的一个新子类

IF 1.8 3区数学 Q1 MATHEMATICS AIMS Mathematics Pub Date : 2023-01-01 DOI:10.3934/math.20231196

Abeer O. Badghaish, Abdel Moneim Y. Lashin, Amani Z. Bajamal, Fayzah A. Alshehri

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引用次数: 2

摘要

本文在开单位圆盘$ u上引入了解析函数和双一元函数的一个新子类。对于这个函数子类，给出了Taylor-Maclaurin级数的初始系数$ \left\vert A_{2}\right\vert $和$ \left\vert A_{3}\right\vert $的估计。给出了勒让德多项式在这类函数中的一个应用。此外，我们的研究还讨论了几个特殊的案例。

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A new subclass of analytic and bi-univalent functions associated with Legendre polynomials

In this paper, we introduce a new subclass of analytic and bi-univalent functions in the open unit disc $ U. $ For this subclass of functions, estimates of the initial coefficients $ \left\vert A_{2}\right\vert $ and $ \left\vert A_{3}\right\vert $ of the Taylor-Maclaurin series are given. An application of Legendre polynomials to this subclass of functions is presented. Furthermore, our study discusses several special cases.

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来源期刊

AIMS Mathematics Mathematics-General Mathematics

CiteScore

3.40

自引率

13.60%

发文量

769

审稿时长

90 days

期刊介绍： AIMS Mathematics is an international Open Access journal devoted to publishing peer-reviewed, high quality, original papers in all fields of mathematics. We publish the following article types: original research articles, reviews, editorials, letters, and conference reports.