Faber Polynomial Coefficient Estimates for Bi-Univalent Functions Defined by Using Differential Subordination and a Certain Fractional Derivative Operator

Autor:	Hari M. Srivastava, Ahmad Motamednezhad, Ebrahim Analouei Adegani
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	analytic functions univalent functions bi-univalent functions coefficient estimates taylor-maclaurin coefficients faber polynomial expansion differential subordination tremblay fractional derivative operator Mathematics QA1-939
Zdroj:	Mathematics, Vol 8, Iss 2, p 172 (2020)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math8020172
Popis:	In this article, we introduce a general family of analytic and bi-univalent functions in the open unit disk, which is defined by applying the principle of differential subordination between analytic functions and the Tremblay fractional derivative operator. The upper bounds for the general coefficients | a n | of functions in this subclass are found by using the Faber polynomial expansion. We have thereby generalized and improved some of the previously published results.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/73fcd65863414ad2b31c151d0d349489 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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