Holonomic rank of A-hypergeometric differential-difference equations

2007/06/19 by Katsuyoshi Ohara, Ohara, Katsuyoshi, Nobuki Takayama +1
Mathematics · #33C10 #33C70 #39A99 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:33C10 #msc:33C70 #msc:39A99

paper · pdf · doi:10.48550/arxiv.0706.2706

16 pages

arxiv created 2007/06/19 · arxiv updated 2009/12/01

Abstract

We introduce A-hypergeometric differential-difference equation and prove that its holonomic rank is equal to the normalized volume of A with giving a set of convergent series solutions.

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