Weber-Schafheitlin integrals with arbitrary exponent

Abstract

We present explicit formulae for Weber-Schafheitlin type integrals and give them an interpretation as the kernel of a physically relevant operator related to the hamiltonian of Aharanov and Bohm. In particular, we derive explicit formulae for Weber-Schafheitlin type integrals with exponent larger or equal 1, which are distributions on R_+. We discuss several special cases.

11 pages

References in corpus (2)

• On Bogoliubov Transformation of Scalar Wave Functions in De Sitter Space
• Homogeneous Schrödinger operators on half-line