Resumen de Evaluación de integrales indefinidas con funciones generalizadas de Laguerre

Miguel González Velasco , S. L. Kalla

• 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.