Holonomic rank of A-hypergeometric differential-difference equations

Katsuyoshi Ohara; Nobuki Takayama

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arXiv · 0706.2706

Holonomic rank of A-hypergeometric differential-difference equations

Katsuyoshi Ohara·Nobuki Takayama

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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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Katsuyoshi Ohara, Nobuki Takayama. 2007-06-19. Holonomic rank of A-hypergeometric differential-difference equations. https://arxiv.org/abs/0706.2706

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