Algebraic A-hypergeometric Functions

Details Algebraic A-hypergeometric Functions Algebraic A-hypergeometric Functions

2008-12-05

arxiv.org/abs/0812.1134v1

Inv. Math. 180 (2010), 589 - 610

Mathematics

Analysis of PDEs

14 pages, 3 figures, research article

Scientific paper

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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