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

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 <inline-formula><math xmlns="http://www.w3.or...

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Bibliographic Details
Main Authors: Adel A. Attiya, Mansour F. Yassen
Format: Article
Language:English
Published: MDPI AG 2022-09-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/14/10/2006
Description
Summary: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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mo>|</mo></mrow><msub><mi>a</mi><mi>n</mi></msub><mrow><mo>|</mo></mrow></mrow></semantics></math></inline-formula> of this family. The bounds values for the initial Taylor–Maclaurin coefficients of the functions in this family are also established.
ISSN:2073-8994