Una generalización de las transformaciones integrales de Meijer

• Autores: E. Delgado, José Rodríguez Expósito
• Localización: Revista de la Academia Canaria de Ciencias: = Folia Canariensis Academiae Scientiarum, ISSN 1130-4723, Vol. 4, Nº. 1-2, 1992, págs. 9-21
• Idioma: español
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• Resumen

  • We present in this paper a new integral transform which generalizes the Meijer and K transformations, that have been studied separately till this moment. The kernel of our transformation is the function t~~'q(t), which isa solution of the differential equation of fractional order qtμ+1-qDt -r(l;J-p-1 )D~K~-ptr(l;J-1}-μy=( -1 )n+I y where lleC, μeC, p>O, n-l( p'5n (neN), q>O and r=p/q.

    The inversion formula, the main operational rules and the connections with Laplace transform, in order to obtain two convolutions, are also given.