Computation of infinite integrals involving three Bessel functions by introduction of new formalism

Abstract

Abstract It has been accepted by many scientists, that whatever can be done in the field of evaluation of integrals of Bessel functions, had already been done, and that nothing new or important can be introduced at this stage. This article is written to disprove such a notion. Introduction of a new and elegant formalism not only allows simple computations of various integrals in terms of elementary functions, it also allows to discover errors (or misprints) in long standing results, which by now have entered practically all respectable tables of integrals.