Weber-Schafheitlin integrals with arbitrary exponent
Classical Analysis and ODEs
2015-03-17 v1 Mathematical Physics
Functional Analysis
math.MP
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.
Keywords
Cite
@article{arxiv.1004.5518,
title = {Weber-Schafheitlin integrals with arbitrary exponent},
author = {Michał Wrochna},
journal= {arXiv preprint arXiv:1004.5518},
year = {2015}
}
Comments
11 pages