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arxiv: 0706.2706 · v1 · submitted 2007-06-19 · 🧮 math.CA

Holonomic rank of A-hypergeometric differential-difference equations

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keywords a-hypergeometricdifferential-differenceholonomicrankconvergentequalequationequations
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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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