Algebraic A-hypergeometric functions

作者:Beukers Frits*
来源:Inventiones Mathematicae, 2010, 180(3): 589-610.
DOI:10.1007/s00222-010-0238-y

摘要

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.

  • 出版日期2010-6