THE ANNIHILATING IDEAL OF THE FISHER INTEGRAL

DOI10.2206/kyushujm.74.415zbMath1470.16048arXiv1503.05261OpenAlexW3111970669MaRDI QIDQ4995443

Tamio Koyama

Publication date: 24 June 2021

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.05261

zbMATH Keywords

Weyl algebraHaar measurespecial orthogonal groupsannihilating ideal

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) Commutative rings of differential operators and their modules (13N10) Rings of differential operators (associative algebraic aspects) (16S32) Algebraic statistics (62R01)

Related Items (1)

Nonlinear algebra and applications

Uses Software

• hgm R

Cites Work

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• Properties and applications of Fisher distribution on the rotation group
• The holonomic gradient method for the distribution function of the largest root of a Wishart matrix
• Holonomic gradient descent and its application to the Fisher-Bingham integral
• The red book of varieties and schemes. Includes the Michigan lectures (1974) on ``Curves and their Jacobians.
• Gröbner deformations of hypergeometric differential equations
• Holonomic gradient descent for the Fisher-Bingham distribution on the \(d\)-dimensional sphere
• Systems of Partial Differential Equations for Hypergeometric Functions of Matrix Argument
• Calculating the normalising constant of the Bingham distribution on the sphere using the holonomic gradient method

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