Resumen de Una generalización de las transformaciones integrales de Meijer

E. Delgado, José Rodríguez Expósito

• 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.