q-Bessel-Macdonald functions
Quantum Algebra
2007-05-23 v1
Abstract
The modified q-Bessel functions and the q-Bessel-Macdonald functions of the first and second kind are introduced. Their definition is based on representations as power series. Recurrence relations, the q-Wronskians, asymptotic decompositions and q-integral representations are received. In addition, the q-Bessel-Macdonald function of kind 3 is determined by its q-integral representation.
Cite
@article{arxiv.math/0010170,
title = {q-Bessel-Macdonald functions},
author = {V. -B. K. Rogov},
journal= {arXiv preprint arXiv:math/0010170},
year = {2007}
}
Comments
10 pages, Latex