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Inventiones mathematicae

, Volume 180, Issue 3, pp 589–610 | Cite as

Algebraic A-hypergeometric functions

  • Frits BeukersEmail author
Open Access
Article

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.

Keywords

Hypergeometric Function Polynomial Solution Algebraic Solution Hypergeometric Equation Fuchsian System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© The Author(s) 2010

Authors and Affiliations

  1. 1.Department of MathematicsUniversiteit UtrechtUtrechtThe Netherlands

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