Equations of hypergeometric type in the degenerate case
Mathematical Physics
2017-05-02 v1 Classical Analysis and ODEs
math.MP
Abstract
We consider the three most important equations of hypergeometric type, , and , in the so-called degenerate case. In this case one of the parameters, usually denoted , is an integer and the standard basis of solutions consists of a hypergeometric-type function and a function with a logarithmic singularity. This article is devoted to a thorough analysis of the latter solution to all three equations.
Keywords
Cite
@article{arxiv.1704.06981,
title = {Equations of hypergeometric type in the degenerate case},
author = {Jan Dereziński and Maciej Karczmarczyk},
journal= {arXiv preprint arXiv:1704.06981},
year = {2017}
}