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

Sheza M. El-Deeb | Zendy; G. Murugusundaramoorthy | Zendy; Kaliyappan Vijaya | Zendy; Alhanouf Alburaikan | Zendy

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

Author(s) -

Sheza M. El-Deeb,

G. Murugusundaramoorthy,

Kaliyappan Vijaya,

Alhanouf Alburaikan

Publication year - 2021

Publication title -

aims mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.329

H-Index - 15

ISSN - 2473-6988

DOI - 10.3934/math.2022165

Subject(s) - class (philosophy) , mathematics , polynomial , operator (biology) , convolution (computer science) , pure mathematics , univalent function , taylor series , combinatorics , discrete mathematics , analytic function , mathematical analysis , computer science , biochemistry , chemistry , repressor , artificial intelligence , machine learning , transcription factor , artificial neural network , gene

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.

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