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arXiv · 1205.6144

The Holonomic Rank of the Fisher-Bingham System of Differential Equations

Tamio Koyama·Hiromasa Nakayama·Kenta Nishiyama·Nobuki Takayama
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Abstract

The Fisher-Bingham system is a system of linear partial differential equations satisfied by the Fisher-Bingham integral for the $n$-dimensional sphere $S^n$. The system is given in [Nakayama et al. (2011), Theorem 2] and it is shown that it is a holonomic system [Koyama]. We show that the holonomic rank of the system is equal to $2n+2$.

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Tamio Koyama, Hiromasa Nakayama, Kenta Nishiyama, Nobuki Takayama. 2013-02-18. The Holonomic Rank of the Fisher-Bingham System of Differential Equations. https://arxiv.org/abs/1205.6144

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