Infinite integrals of Whittaker and Bessel functions with respect to their indices

Peter A. Becker<br/> We obtain several new closed-form expressions for the evaluation of a family of infinite-domain integrals of the Whittaker functions W(x) and M(x) and the modified Bessel functions I(x) and K(x) with respect to the index [mu]. The new family of definite integrals is useful in a variety of contexts i … [J. Math. Phys. 50, 123515 (2009)] published Mon Dec 14, 2009.