Certain class of bi-univalent functions defined by quantum calculus operator associated with Faber polynomial

Autor:	Kaliyappan Vijaya, Sheza. M. El-Deeb, Gangadharan Murugusundaramoorthy, Alhanouf Alburaikan
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	Pure mathematics Polynomial Class (set theory) Mathematics::Complex Variables General Mathematics Operator (physics) Quantum calculus faber polynomial bi-univalent functions q-derivative operator QA1-939 convolution Mathematics
Zdroj:	AIMS Mathematics, Vol 7, Iss 2, Pp 2989-3005 (2022)
ISSN:	2473-6988
DOI:	10.3934/math.2022165?viewType=HTML
Popis:	In this paper, we introduce a new class of bi-univalent functions defined in the open unit disc and connected with a $ q $-convolution. We find estimates for the general Taylor-Maclaurin coefficients of the functions in this class by using Faber polynomial expansions, and we obtain an estimation for Fekete-Szegö problem for this class.
Databáze:	OpenAIRE
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