Abstract
A new technique is described for evaluating a general class of indefinite integrals involving products of many of the special functions of physics such as Bessel functions, Legendre functions, Hermite functions, etc. The technique is a generalization of the method used by Sonine to evaluate certain indefinite integrals of Bessel functions. It involves replacing the integral to be evaluated by a coupled set of linear, inhomogeneous differential equations. A particular solution of the set of differential equations is then sufficient to express the result of integration. Several examples are given to illustrate the technique.
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