A new subclass of analytic and bi-univalent functions associated with Legendre polynomials-Reference-Cited by-同舟云学术

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

Published:2023 Issue:10 Volume:8 Page:23534-23547
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Badghaish Abeer O.¹,Lashin Abdel Moneim Y.¹²,Bajamal Amani Z.¹,Alshehri Fayzah A.¹

Affiliation:

1. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

2. Department of Mathematics Faculty of Science, Mansoura University, Mansoura, 35516, Egypt

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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