A Fuchsian Matrix Differential Equation for Selberg Correlation Integrals

Hypergeometric-type Integrals and Fuchsian Differential Operators

In this paper we consider integrals of the form

Differential Equation of Sensitivity Matrix for Final Velocity Constraint

ON SELBERG-TYPE SQUARE MATRICES INTEGRALS

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.

Archimedean Rankin-Selberg Integrals

The paper gives complete proofs of the properties of the RankinSelberg integrals for the group GL(n,R) and GL(n,C).

Hankel hyperdeterminants and Selberg integrals

Abstract. We investigate the simplest class of hyperdeterminants defined by Cayley in the case of Hankel hypermatrices (tensors of the form Ai1i2...ik = f(i1+i2+· · ·+ik)). It is found that many classical properties of Hankel determinants can be generalized, and a connection with Selberg type integrals is established. In particular, Selberg’s original formula amounts to the evaluation of all Ha...