Initial Coefficients Estimates and Fekete–Szegö Inequality Problem for a General Subclass of Bi-Univalent Functions Defined by Subordination

Autor:	Mohamed Illafe, Feras Yousef, Maisarah Haji Mohd, Shamani Supramaniam
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	normalized analytic bi-univalent functions Gegenbauer polynomials Poisson distribution Fekete–Szegö inequality problem Mathematics QA1-939
Zdroj:	Axioms, Vol 12, Iss 3, p 235 (2023)
Druh dokumentu:	article
ISSN:	2075-1680
DOI:	10.3390/axioms12030235
Popis:	In the present work, we aim to introduce and investigate a novel comprehensive subclass of normalized analytic bi-univalent functions involving Gegenbauer polynomials and the zero-truncated Poisson distribution. For functions in the aforementioned class, we find upper estimates of the second and third Taylor–Maclaurin coefficients, and then we solve the Fekete–Szegö functional problem. Moreover, by setting the values of the parameters included in our main results, we obtain several links to some of the earlier known findings.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/838e51f671d34a1d9635e6950103fc63 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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