Evaluación de integrales indefinidas con funciones generalizadas de Laguerre

• Autores: Miguel González Velasco, S. L. Kalla
• Localización: Revista de la Academia Canaria de Ciencias: = Folia Canariensis Academiae Scientiarum, ISSN 1130-4723, Vol. 4, Nº. 1-2, 1992, págs. 85-99
• Idioma: español
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• Resumen

  • In this work we evaluate indefinate integrals of the form I "' J f (x ) L~ (x) dx, assurning that the resul t can be expressed as A (x) L~ (x ) +B (x ) L~+t (x) . Here f (x) is a bounded and continuous ar sectionally continuous function over the interval [x1 ,x2 ] and L~(x) is the generalized Laguerre function of arder v . We observe that Lª (x ) satisfy sorne recurrence relations that permit us to reduce the problem of evaluation of I to resolve a differential equation in B (x) . Fractional Calculus is used to sol ve this differential equation. With this technique we obtain more general resulta than those scattered in the existing literature.