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2024 | OriginalPaper | Chapter

A Certain Subclass of Analytic Functions Related to \(\textsf{q}-\)Calculus and Their Second Hankel Determinant

Authors : Abdullah Alsoboh, Ala Amourah, Feras Awad, Ayman Alahmade, Gharib Gharib

Published in: Mathematical Analysis and Numerical Methods

Publisher: Springer Nature Singapore

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Abstract

In this paper, we introduce a new subclass of analytic functions defined on the symmetry domain \(\nabla \). The subclass is characterized by a derivative operator associated with quantum calculus. We obtain estimations for the Fekete-Szegö functional problems and for the absolute values of the second and third Taylor-Maclaurin coefficients of functions belonging to this new subclass. Additionally, we derive exact upper bounds for the second Hankel functional.

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Title: A Certain Subclass of Analytic Functions Related to Calculus and Their Second Hankel Determinant
Authors: Abdullah Alsoboh
Ala Amourah
Feras Awad
Ayman Alahmade
Gharib Gharib
Publisher: Springer Nature Singapore
Book: Mathematical Analysis and Numerical Methods
Print ISBN: 978-981-9748-75-4

Electronic ISBN: 978-981-9748-76-1

Copyright Year: 2024
DOI: https://doi.org/10.1007/978-981-97-4876-1_22

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