@article{Badghaish2023, 
author = {Abeer O. Badghaish and Abdel Moneim Y. Lashin and Amani Z. Bajamal and Fayzah A. Alshehri},
title = {A new subclass of analytic and bi-univalent functions associated with Legendre polynomials},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {10},
pages = {23534-23547},
keywords = {bi-univalent functions, analytic functions, starlike and convex functions, Legendre polynomials},
url = {https://www.sciopen.com/article/10.3934/math.20231196},
doi = {10.3934/math.20231196},
abstract = {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        |          A              2              |   and        |          A              3              |   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.}
}