A Holonomic Ideal Which Annihilates the Fisher-Bingham Integral

MR3099033 Tamio KOYAMA Tamio KOYAMA A Holonomic Ideal Which Annihilates the Fisher-Bingham Integral Funkcialaj Ekvacioj. Serio Internacia 56 2013 51--61 http://fe.math.kobe-u.ac.jp/FE/FullPapers/56-1/56_51.pdf http://www.ams.org/mathscinet-getitem?mr=MR3099033 We calculate the integration ideal of a holonomic ideal which annihilates the non-normalized Fisher-Bingham distribution and show that the integration ideal agrees with the ideal which annihilates the Fisher-Bingham integral given in [9]. They conjectured that this ideal is a holonomic ideal and we prove their conjecture. Holonomic ideal, Fisher-Bingham integral. 16S32, 16Z99, 32C38, 62F10. 56-51 2013 A Holonomic Ideal Which Annihilates the Fisher-Bingham Integral Tamio KOYAMA Tamio KOYAMA 1 Cox, D.; Little, J.; O'Shea, D. Ideals, Varieties, and Algorithms Undergraduate Texts in Mathematics, Springer-Verlag, New York 1992 MR1189133 2 Björk, J. E. Rings of differential operators North-Holland Mathematical Library, 21, North-Holland Publishing Co., Amsterdam-New York 1979 MR0549189

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