SOME TRIPLE SERIES AND TRIPLE INTEGRAL-EQUATIONS

It is shown how a certain class of triple series equations involving the generalized Laguerre polynomials can be reduced to some triple integral equations involving Bessel functions. Making use of an Erdélyi-Kober operator of fractional integration, an exact solution of these triple integral equations is obtained. An exact solution of the triple series equations is then deduced fairly easily in view of the aforementioned simple and practical connection. © 1990.