NDLI: New Applications of Gegenbauer Polynomials on a New Family of Bi-Bazilevič Functions Governed by the q-Srivastava-Attiya Operator

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New Applications of Gegenbauer Polynomials on a New Family of Bi-Bazilevič Functions Governed by the q-Srivastava-Attiya Operator

Content Provider	MDPI
Author	Lumini, ţa-Ioana Cotîrlǎ Wanas, Abbas Kareem
Copyright Year	2022
Abstract	In the present paper, making use of Gegenbauer polynomials, we initiate and explore a new family $J_{Σ} (λ, γ, s, t, q; h)$ of holomorphic and bi-univalent functions which were defined in the unit disk $D$ associated with the q-Srivastava–Attiya operator. We establish the bounds for $\| a_{2} \|$ and $\| a_{3} \|$ , where $a_{2}$ , $a_{3}$ are the initial Taylor–Maclaurin coefficients. For the new family of functions $J_{Σ} (λ, γ, s, t, q; h)$ we investigate the Fekete-Szegö inequality, special cases and consequences.
Starting Page	1309
e-ISSN	22277390
DOI	10.3390/math10081309
Journal	Mathematics
Issue Number	8
Volume Number	10
Language	English
Publisher	MDPI
Publisher Date	2022-04-14
Access Restriction	Open
Subject Keyword	Mathematics Logic Holomorphic Function Bazilevič Function Bi-univalent Function Fekete–szegö Inequality Q-srivastava–attiya Operator Upper Bounds Gegenbauer Polynomials
Content Type	Text
Resource Type	Article

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