Coefficient Estimation Utilizing the Faber Polynomial for a Subfamily of Bi-Univalent Functions

Autor:	Abdullah Alsoboh, Ala Amourah, Fethiye Müge Sakar, Osama Ogilat, Gharib Mousa Gharib, Nasser Zomot
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	analytic function univalent functions bi-univalent functions Faber polynomial q- derivative operator quantum calculus Mathematics QA1-939
Zdroj:	Axioms, Vol 12, Iss 6, p 512 (2023)
Druh dokumentu:	article
ISSN:	2075-1680 77976819
DOI:	10.3390/axioms12060512
Popis:	The paper introduces a new family of analytic bi-univalent functions that are injective and possess analytic inverses, by employing a q-analogue of the derivative operator. Moreover, the article establishes the upper bounds of the Taylor–Maclaurin coefficients of these functions, which can aid in approximating the accuracy of approximations using a finite number of terms. The upper bounds are obtained by approximating analytic functions using Faber polynomial expansions. These bounds apply to both the initial few coefficients and all coefficients in the series, making them general and early, respectively.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/9f53a724340f41d4aa77976819d6e2e8 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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