A unified approach to $q$-special functions of the Laplace type
Classical Analysis and ODEs
2011-03-29 v1
Abstract
We propose a unified approach to -special functions, which are degenerations of basic hypergeometric functions . We obtain a list of seven different class of -special functions: , two different types of the -Bessel functions, the -Hermite-Weber functions, two different types of the -Airy functions. We show that there exist a relation between two types of the -Airy functions.
Keywords
Cite
@article{arxiv.1103.5232,
title = {A unified approach to $q$-special functions of the Laplace type},
author = {Yousuke Ohyama},
journal= {arXiv preprint arXiv:1103.5232},
year = {2011}
}