A Holonomic Ideal Annihilating the Fisher-Bingham Integral

Details A Holonomic Ideal Annihilating the Fisher-Bingham Integral A Holonomic Ideal Annihilating the Fisher-Bingham Integral

2011-04-07

arxiv.org/abs/1104.1411v2

Mathematics

Classical Analysis and ODEs

11 pages

Scientific paper

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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