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arXiv · 1104.1411

A Holonomic Ideal Annihilating the Fisher-Bingham Integral

Tamio Koyama
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Abstract

We calculate the integration ideal of annihilating differential operators of the non-normalized Fisher-Bingham distribution and show that the ideal agrees with the set of operators for the Fisher-Bingham integral given in "Holonomic Gradient Descent and its Application to the Fisher-Bingham Integral". They conjectured that the set generates a holonomic ideal and we prove their conjecture.

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Tamio Koyama. 2011-04-07. A Holonomic Ideal Annihilating the Fisher-Bingham Integral. https://arxiv.org/abs/1104.1411

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