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
Descripción
Sumario: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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