Holonomic rank of A-hypergeometric differential-difference equations

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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.
16 pages

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Classical Analysis and ODEs, 33C70; 33C10; 39A99

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http://salesiana.dossiersoluciones.com/handle/123456789/131989

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.2706
 http://arxiv.org/abs/0706.2706

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arXiv