A Family of Analytic and Bi-Univalent Functions Associated with Srivastava-Attiya Operator

Adel A. Attiya; Mansour F. Yassen

doi:10.3390/sym14102006

A Family of Analytic and Bi-Univalent Functions Associated with Srivastava-Attiya Operator

Adel A. Attiya, Mansour F. Yassen

Mathematics

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2 Scopus citations

Abstract

In this paper, we investigate a new family of normalized analytic functions and bi-univalent functions associated with the Srivastava–Attiya operator. We use the Faber polynomial expansion to estimate the bounds for the general coefficients (Formula presented.) of this family. The bounds values for the initial Taylor–Maclaurin coefficients of the functions in this family are also established.

Original language	English
Article number	2006
Journal	Symmetry
Volume	14
Issue number	10
DOIs	https://doi.org/10.3390/sym14102006
State	Published - Oct 2022

Keywords

bi-univalent function
coefficient estimates
Faber polynomial
Hurwitz-Lerch zeta function
Srivastava–Attiya operator
subordination relation

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10.3390/sym14102006

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abstract = "In this paper, we investigate a new family of normalized analytic functions and bi-univalent functions associated with the Srivastava–Attiya operator. We use the Faber polynomial expansion to estimate the bounds for the general coefficients (Formula presented.) of this family. The bounds values for the initial Taylor–Maclaurin coefficients of the functions in this family are also established.",

keywords = "bi-univalent function, coefficient estimates, Faber polynomial, Hurwitz-Lerch zeta function, Srivastava–Attiya operator, subordination relation",

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AB - In this paper, we investigate a new family of normalized analytic functions and bi-univalent functions associated with the Srivastava–Attiya operator. We use the Faber polynomial expansion to estimate the bounds for the general coefficients (Formula presented.) of this family. The bounds values for the initial Taylor–Maclaurin coefficients of the functions in this family are also established.

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KW - coefficient estimates

KW - Faber polynomial

KW - Hurwitz-Lerch zeta function

KW - Srivastava–Attiya operator

KW - subordination relation

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A Family of Analytic and Bi-Univalent Functions Associated with Srivastava-Attiya Operator

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Keywords

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