Funkcialaj Ekvacioj
Print ISSN : 0532-8721
On Transformations of A-Hypergeometric Functions
Jens ForsgårdLaura Felicia MatusevichAleksandra Sobieska
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2019 Volume 62 Issue 3 Pages 319-336

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Abstract

We propose a systematic study of transformations of A-hypergeometric functions. Our approach is to apply changes of variables corresponding to automorphisms of toric rings, to Euler-type integral representations of A-hypergeometric functions. We show that all linear A-hypergeometric transformations arise from symmetries of the corresponding polytope. As an application of the techniques developed here, we show that the Appell function F4 does not admit a certain kind of Euler-type integral representation.

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© 2019 by the Division of Functional Equations, The Mathematical Society of Japan
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