How to compute multivariate Bessel expansions

We develop a constructive method for computing explicitly multivariate Bessel expansions of the type assuming that for a particular value a closed expression for the single-variable Bessel expansion as a power series of , , is known. Using the method we compute in a closed form a bunch of examples o...

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Detalles Bibliográficos
Autores: Durán Guardeño, Antonio José, Pérez, Mario, Varona, Juan L.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/182521
Acceso en línea:https://hdl.handle.net/11441/182521
https://doi.org/10.1007/s11139-024-00844-3
Access Level:acceso abierto
Palabra clave:Bessel functions
Bessel series
Multivariate Bessel series
Descripción
Sumario:We develop a constructive method for computing explicitly multivariate Bessel expansions of the type assuming that for a particular value a closed expression for the single-variable Bessel expansion as a power series of , , is known. Using the method we compute in a closed form a bunch of examples of multivariate Bessel expansions.