Algebraic A-hypergeometric functions

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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. © The Author(s) 2010.

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Beukers, F. (2010). Algebraic A-hypergeometric functions. Inventiones Mathematicae, 180(3), 589–610. https://doi.org/10.1007/s00222-010-0238-y

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