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

Autor:	Badghaish, Abeer O., Lashin, Abdel Moneim Y., Bajamal, Amani Z., Alshehri, Fayzah A.
Předmět:	UNIVALENT functions ANALYTIC functions LEGENDRE'S functions POLYNOMIALS CONVEX functions STAR-like functions
Zdroj:	AIMS Mathematics; 2023, Vol. 8 Issue 10, p23534-23547, 14p
Abstrakt:	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. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
Externí odkaz:	Zobrazit plný text záznamu