Title | **The holonomic rank of the Fisher–Bingham system of differential equations** |

Author(s) | Tamio Koyama, Hiromasa Nakayama, Kenta Nishiyama, Nobuki Takayama |

Type | Article in Journal |

Abstract | 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 [4, Theorem 2] and it is shown that it is a holonomic system [1]. We show that the holonomic rank of the system is equal to 2 n + 2 . |

ISSN | 0022-4049 |

URL |
http://www.sciencedirect.com/science/article/pii/S0022404914000541 |

Language | English |

Journal | Journal of Pure and Applied Algebra |

Volume | 218 |

Number | 11 |

Pages | 2060 - 2071 |

Year | 2014 |

Edition | 0 |

Translation |
No |

Refereed |
No |