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Texture analysis using Horadam polynomial coefficient estimate for the class of Sakaguchi kind function

This present work provides the initial co-efficient bounds of the function f(z) which is defined in open unit disk [Formula: see text] . We introduced bi-univalent class [Formula: see text] . Making use of Horadam polynomials [Formula: see text] and the generating function [Formula: see text] , we e...

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Autores principales: Priya, H., Sruthakeerthi, B.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10475074/
https://www.ncbi.nlm.nih.gov/pubmed/37660201
http://dx.doi.org/10.1038/s41598-023-41734-w
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author Priya, H.
Sruthakeerthi, B.
author_facet Priya, H.
Sruthakeerthi, B.
author_sort Priya, H.
collection PubMed
description This present work provides the initial co-efficient bounds of the function f(z) which is defined in open unit disk [Formula: see text] . We introduced bi-univalent class [Formula: see text] . Making use of Horadam polynomials [Formula: see text] and the generating function [Formula: see text] , we estimated the bounds of [Formula: see text] and [Formula: see text] for the given function to be in the defined class. Moreover Fekete-Szego inequalities are calculated. In addition to all the results obtained mathematically, we provide application for Horadam polynomial in computer vision.
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spelling pubmed-104750742023-09-04 Texture analysis using Horadam polynomial coefficient estimate for the class of Sakaguchi kind function Priya, H. Sruthakeerthi, B. Sci Rep Article This present work provides the initial co-efficient bounds of the function f(z) which is defined in open unit disk [Formula: see text] . We introduced bi-univalent class [Formula: see text] . Making use of Horadam polynomials [Formula: see text] and the generating function [Formula: see text] , we estimated the bounds of [Formula: see text] and [Formula: see text] for the given function to be in the defined class. Moreover Fekete-Szego inequalities are calculated. In addition to all the results obtained mathematically, we provide application for Horadam polynomial in computer vision. Nature Publishing Group UK 2023-09-02 /pmc/articles/PMC10475074/ /pubmed/37660201 http://dx.doi.org/10.1038/s41598-023-41734-w Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Priya, H.
Sruthakeerthi, B.
Texture analysis using Horadam polynomial coefficient estimate for the class of Sakaguchi kind function
title Texture analysis using Horadam polynomial coefficient estimate for the class of Sakaguchi kind function
title_full Texture analysis using Horadam polynomial coefficient estimate for the class of Sakaguchi kind function
title_fullStr Texture analysis using Horadam polynomial coefficient estimate for the class of Sakaguchi kind function
title_full_unstemmed Texture analysis using Horadam polynomial coefficient estimate for the class of Sakaguchi kind function
title_short Texture analysis using Horadam polynomial coefficient estimate for the class of Sakaguchi kind function
title_sort texture analysis using horadam polynomial coefficient estimate for the class of sakaguchi kind function
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10475074/
https://www.ncbi.nlm.nih.gov/pubmed/37660201
http://dx.doi.org/10.1038/s41598-023-41734-w
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