  Using the theory of orthogonal polynomials, their associated recursion
relations and differential formulas we develop a method for evaluating new
integrals. The method is illustrated by obtaining a closed-form expression for
the value of an integral that involves the Bessel function and associated
Laguerre polynomial. The result, which is given by Eq. (19) in the text, is
written in terms of the Gegenbauer (ultra-spherical) polynomial.
