Algebraic A-hypergeometric functions

Publication date

2010

Authors

Beukers, F.ISNI 0000000350610029

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Article
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Abstract

We formulate and prove a combinatorial criterion to decide if an A-hypergeometric system of differential equations has a full set of algebraic solutions or not. This criterion generalises the so-called interlacing criterion in the case of hypergeometric functions of one variable.

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Citation

Beukers, F 2010, 'Algebraic A-hypergeometric functions', Inventiones Mathematicae, vol. 180, no. 3, pp. 589-610. https://doi.org/10.1007/s00222-010-0238-y