English

Algebraic A-hypergeometric Functions

Analysis of PDEs 2010-09-02 v1

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

Cite

@article{arxiv.0812.1134,
  title  = {Algebraic A-hypergeometric Functions},
  author = {Frits Beukers},
  journal= {arXiv preprint arXiv:0812.1134},
  year   = {2010}
}

Comments

14 pages, 3 figures, research article

R2 v1 2026-06-21T11:48:44.047Z