A new Kontorovich-Lebedev-like transformation
Classical Analysis and ODEs
2012-06-07 v1
Abstract
A different application of the familiar integral representation for the modifed Bessel function drives to a new Kontorovich-Lebedev-like integral transformation of a general complex index. Mapping and operational properties, a convolution operator and inversion formula are established. Solvability conditions and explicit solutions of the corresponding class of convolution integral equations are exhibited.
Cite
@article{arxiv.1206.1168,
title = {A new Kontorovich-Lebedev-like transformation},
author = {Semyon Yakubovich},
journal= {arXiv preprint arXiv:1206.1168},
year = {2012}
}