Comment on the orthogonality of the Macdonald functions of imaginary order
Classical Analysis and ODEs
2009-09-24 v1 Mathematical Physics
math.MP
Abstract
Recently, Yakubovich [Opuscula Math. 26 (2006) 161--172] and Passian et al. [J. Math. Anal. Appl. doi:10.1016/j.jmaa.2009.06.067] have presented alternative proofs of an orthogonality relation obeyed by the Macdonald functions of imaginary order. In this note, we show that the validity of that relation may be also proved in a simpler way by applying a technique occasionally used in mathematical physics to normalize scattering wave functions to the Dirac delta distribution.
Keywords
Cite
@article{arxiv.0909.4232,
title = {Comment on the orthogonality of the Macdonald functions of imaginary order},
author = {Radoslaw Szmytkowski and Sebastian Bielski},
journal= {arXiv preprint arXiv:0909.4232},
year = {2009}
}
Comments
LaTeX, 4 pages