q-Sumudu Transforms of q-Analogues of Bessel Functions

The main purpose of this paper is to evaluate q-Sumudu transforms of a product of q-Bessel functions. Interesting special cases of theorems are also discussed. Further, the results proved in this paper may find certain applications of q-Sumudu transforms to the solutions of the q-integrodifferential...

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Detalles Bibliográficos
Autor principal: Uçar, Faruk
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3929069/
https://www.ncbi.nlm.nih.gov/pubmed/24688381
http://dx.doi.org/10.1155/2014/327019
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author Uçar, Faruk
author_facet Uçar, Faruk
author_sort Uçar, Faruk
collection PubMed
description The main purpose of this paper is to evaluate q-Sumudu transforms of a product of q-Bessel functions. Interesting special cases of theorems are also discussed. Further, the results proved in this paper may find certain applications of q-Sumudu transforms to the solutions of the q-integrodifferential equations involving q-Bessel functions. The results may help to extend the q-theory of orthogonal functions.
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spelling pubmed-39290692014-03-31 q-Sumudu Transforms of q-Analogues of Bessel Functions Uçar, Faruk ScientificWorldJournal Research Article The main purpose of this paper is to evaluate q-Sumudu transforms of a product of q-Bessel functions. Interesting special cases of theorems are also discussed. Further, the results proved in this paper may find certain applications of q-Sumudu transforms to the solutions of the q-integrodifferential equations involving q-Bessel functions. The results may help to extend the q-theory of orthogonal functions. Hindawi Publishing Corporation 2014-01-29 /pmc/articles/PMC3929069/ /pubmed/24688381 http://dx.doi.org/10.1155/2014/327019 Text en Copyright © 2014 Faruk Uçar. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Uçar, Faruk
q-Sumudu Transforms of q-Analogues of Bessel Functions
title q-Sumudu Transforms of q-Analogues of Bessel Functions
title_full q-Sumudu Transforms of q-Analogues of Bessel Functions
title_fullStr q-Sumudu Transforms of q-Analogues of Bessel Functions
title_full_unstemmed q-Sumudu Transforms of q-Analogues of Bessel Functions
title_short q-Sumudu Transforms of q-Analogues of Bessel Functions
title_sort q-sumudu transforms of q-analogues of bessel functions
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3929069/
https://www.ncbi.nlm.nih.gov/pubmed/24688381
http://dx.doi.org/10.1155/2014/327019
work_keys_str_mv AT ucarfaruk qsumudutransformsofqanaloguesofbesselfunctions

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