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arxiv: 0812.1134 · v1 · pith:YVGN7O6Knew · submitted 2008-12-05 · 🧮 math.AP

Algebraic A-hypergeometric Functions

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keywords criteriona-hypergeometricalgebraicfunctionscasecombinatorialdecidedifferential
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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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