On Selberg-Type Square Matrices Integrals
M. Arashi
TL;DR
This paper extends the calculation of Selberg-type square matrices integrals, focusing on Kummer-beta types I & II, for real normed division algebras, providing generalized results under abstract algebra and orthogonal transformations.
Contribution
It introduces generalized matrix variate Kummer-beta integrals for real normed division algebras and computes Selberg-type integrals under orthogonal transformations.
Findings
Derived explicit formulas for Selberg-type integrals.
Extended results to real normed division algebras.
Provided a unified framework for matrix integrals.
Abstract
In this paper we consider Selberg-type square matrices integrals with focus on Kummer-beta types I & II integrals. For generality of the results for real normed division algebras, the generalized matrix variate Kummer-beta types I & II are defined under the abstract algebra. Then Selberg-type integrals are calculated under orthogonal transformations.
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Taxonomy
TopicsMatrix Theory and Algorithms · Mathematical functions and polynomials · Advanced Topics in Algebra