Hankel determinant for certain new classes of analytic functions associated the activation functions

In this article, we introduce two new classes of analytic functions [Formula: see text] and [Formula: see text] which are associated with the activation functions and defined by the ratio of analytic representations of convex and starlike functions. For functions in these classes, our primary goal i...

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Autores principales: Sun, YueJuan, Arif, Muhammad, Ullah, Khalil, Shi, Lei, Faisal, Muhammad Imran
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2023
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10641218/
https://www.ncbi.nlm.nih.gov/pubmed/37964839
http://dx.doi.org/10.1016/j.heliyon.2023.e21449
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author Sun, YueJuan
Arif, Muhammad
Ullah, Khalil
Shi, Lei
Faisal, Muhammad Imran
author_facet Sun, YueJuan
Arif, Muhammad
Ullah, Khalil
Shi, Lei
Faisal, Muhammad Imran
author_sort Sun, YueJuan
collection PubMed
description In this article, we introduce two new classes of analytic functions [Formula: see text] and [Formula: see text] which are associated with the activation functions and defined by the ratio of analytic representations of convex and starlike functions. For functions in these classes, our primary goal is to determine the sharp upper bounds of second and third Hankel determinants.
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spelling pubmed-106412182023-11-14 Hankel determinant for certain new classes of analytic functions associated the activation functions Sun, YueJuan Arif, Muhammad Ullah, Khalil Shi, Lei Faisal, Muhammad Imran Heliyon Research Article In this article, we introduce two new classes of analytic functions [Formula: see text] and [Formula: see text] which are associated with the activation functions and defined by the ratio of analytic representations of convex and starlike functions. For functions in these classes, our primary goal is to determine the sharp upper bounds of second and third Hankel determinants. Elsevier 2023-10-27 /pmc/articles/PMC10641218/ /pubmed/37964839 http://dx.doi.org/10.1016/j.heliyon.2023.e21449 Text en © 2023 The Authors. Published by Elsevier Ltd. https://creativecommons.org/licenses/by/4.0/This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Research Article
Sun, YueJuan
Arif, Muhammad
Ullah, Khalil
Shi, Lei
Faisal, Muhammad Imran
Hankel determinant for certain new classes of analytic functions associated the activation functions
title Hankel determinant for certain new classes of analytic functions associated the activation functions
title_full Hankel determinant for certain new classes of analytic functions associated the activation functions
title_fullStr Hankel determinant for certain new classes of analytic functions associated the activation functions
title_full_unstemmed Hankel determinant for certain new classes of analytic functions associated the activation functions
title_short Hankel determinant for certain new classes of analytic functions associated the activation functions
title_sort hankel determinant for certain new classes of analytic functions associated the activation functions
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10641218/
https://www.ncbi.nlm.nih.gov/pubmed/37964839
http://dx.doi.org/10.1016/j.heliyon.2023.e21449
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