On transformations of A-hypergeometric functions
Algebraic Geometry
2017-03-10 v1 Classical Analysis and ODEs
Complex Variables
Abstract
We propose a systematic study of transformations of -hypergeometric functions. Our approach is to apply changes of variables corresponding to automorphisms of toric rings, to Euler-type integral representations of -hypergeometric functions. We show that all linear -hypergeometric transformations arise from symmetries of the corresponding polytope. As an application of the techniques developed here, we show that the Appell function does not admit a certain kind of Euler-type integral representation.
Cite
@article{arxiv.1703.03036,
title = {On transformations of A-hypergeometric functions},
author = {Jens Forsgård and Laura Felicia Matusevich and Aleksandra Sobieska},
journal= {arXiv preprint arXiv:1703.03036},
year = {2017}
}