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

被引：3
|
作者：
Badghaish, Abeer O. [1 ]
Lashin, Abdel Moneim Y. [1 ,2 ]
Bajamal, Amani Z. [1 ]
Alshehri, Fayzah A. [1 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia
[2] Mansoura Univ, Dept Math Fac Sci, Mansoura 35516, Egypt
来源：
AIMS MATHEMATICS | 2023年 / 8卷 / 10期
关键词：
bi-univalent functions; analytic functions; starlike and convex functions; Legendre polynomials; COEFFICIENT BOUNDS; STARLIKE;
D O I：
10.3934/math.20231196
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 |A2| and |A3| 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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页码：23534 / 23547
页数：14
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