New transformation law for Heun and Hypergeometric Equations

Details New transformation law for Heun and Hypergeometric Equations New transformation law for Heun and Hypergeometric Equations

2003-05-23

arxiv.org/abs/math-ph/0305050v1

Physics

Mathematical Physics

10 pages, no figures

Scientific paper

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.

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