The inversion, formulae for some bessel and hypergeometric transforms

By an appeal to the Laplace transform and their inverses we have obtained five inversión formulae for some Bessel function transforms. The inversion formula for hyperqeometric transforms have been given whose kernel are the confluent hypergeometric function  1F1(γ - a;  γ; μx) and Gauss hypergeometr...

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Autores:
González de Galindo, S. E.
Kalla, S. L.
Tipo de recurso:
Article of journal
Fecha de publicación:
1976
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/42477
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/42477
http://bdigital.unal.edu.co/32574/
Palabra clave:
Laplace transform
Bessel function transforms
confluent hypergeometric function
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary:By an appeal to the Laplace transform and their inverses we have obtained five inversión formulae for some Bessel function transforms. The inversion formula for hyperqeometric transforms have been given whose kernel are the confluent hypergeometric function  1F1(γ - a;  γ; μx) and Gauss hypergeometric function  2F1( a, β, γ;  - 1/ μ x). The results given earlier by Gómez López [8] follow as special cases of our results given in section. 3.