Weber-Schafheitlin integrals with arbitrary exponent

Details Weber-Schafheitlin integrals with arbitrary exponent Weber-Schafheitlin integrals with arbitrary exponent

2010-04-30

arxiv.org/abs/1004.5518v1

Mathematics

Classical Analysis and ODEs

11 pages

Scientific paper

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.

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