Some notes on Sonine–Gegenbauer integrals

We provide an explicit formula for a Sonine–Gegenbauer integral, which seems to be unknown in the literature so far. For another type of these integrals, we show a dependence relation over the rational functions, including the explicit calculation of the coefficient functions.

Detalles Bibliográficos
Autor principal: Grandits, Peter
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Taylor & Francis 2018
Materias:
Research Articles
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6310450/
https://www.ncbi.nlm.nih.gov/pubmed/30636934
http://dx.doi.org/10.1080/10652469.2018.1538215
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author Grandits, Peter
author_facet Grandits, Peter
author_sort Grandits, Peter
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description We provide an explicit formula for a Sonine–Gegenbauer integral, which seems to be unknown in the literature so far. For another type of these integrals, we show a dependence relation over the rational functions, including the explicit calculation of the coefficient functions.
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spelling pubmed-63104502019-01-11 Some notes on Sonine–Gegenbauer integrals Grandits, Peter Integral Transform Spec Funct Research Articles We provide an explicit formula for a Sonine–Gegenbauer integral, which seems to be unknown in the literature so far. For another type of these integrals, we show a dependence relation over the rational functions, including the explicit calculation of the coefficient functions. Taylor & Francis 2018-10-29 /pmc/articles/PMC6310450/ /pubmed/30636934 http://dx.doi.org/10.1080/10652469.2018.1538215 Text en © 2018 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group http://creativecommons.org/licenses/by/4.0/ This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Articles
Grandits, Peter
Some notes on Sonine–Gegenbauer integrals
title Some notes on Sonine–Gegenbauer integrals
title_full Some notes on Sonine–Gegenbauer integrals
title_fullStr Some notes on Sonine–Gegenbauer integrals
title_full_unstemmed Some notes on Sonine–Gegenbauer integrals
title_short Some notes on Sonine–Gegenbauer integrals
title_sort some notes on sonine–gegenbauer integrals
topic Research Articles
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6310450/
https://www.ncbi.nlm.nih.gov/pubmed/30636934
http://dx.doi.org/10.1080/10652469.2018.1538215
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