New transformation law for Heun and Hypergeometric Equations
Mathematical Physics
2007-05-23 v1 Classical Analysis and ODEs
math.MP
Abstract
In this work we establish new forms of Heun-to-Heun transformations and Heun-to-Hypergeometric transformations. The transformations are realised by changing the independent variable in a non-linear way. Using these we also point out some simple examples of transformations between equations that are not Fuchsian and that generalise the Heun-to-Hypergeometric transformations.
Cite
@article{arxiv.math-ph/0305050,
title = {New transformation law for Heun and Hypergeometric Equations},
author = {Yves Gaspar},
journal= {arXiv preprint arXiv:math-ph/0305050},
year = {2007}
}
Comments
10 pages, no figures