1987
DOI: 10.1137/0518042
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Jacobi Polynomials Associated with Selberg Integrals

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Cited by 143 publications
(148 citation statements)
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“…The natural question is whether such models exist for the last member of the classical triplet, Jacobi. The β-Jacobi ensembles have been intensively studied as theoretical distributions, especially in connection with Selberg-type integrals and Jack (or Jack-Selberg) polynomials (see [1], [15], [16], [3]). Finding a random matrix model that corresponds to them would be of much interest.…”
mentioning
confidence: 99%
“…The natural question is whether such models exist for the last member of the classical triplet, Jacobi. The β-Jacobi ensembles have been intensively studied as theoretical distributions, especially in connection with Selberg-type integrals and Jack (or Jack-Selberg) polynomials (see [1], [15], [16], [3]). Finding a random matrix model that corresponds to them would be of much interest.…”
mentioning
confidence: 99%
“…Up to now, we have been unable unable to find a hyperdeterminantal interpretation of this. In the same way, Anderson's (see [1]) and Aomoto's (see [3]) proofs of Selberg's integral seem to contain information unrelated to the hyperdeterminantal representations.…”
Section: Resultsmentioning
confidence: 93%
“…Let ρ (1) We are motivated by some earlier work of one of the present authors and collaborators [23]. That work relates to the bulk scaled limit of the two-point correlation function for the circular ensemble (1.4) with V (θ) independent of θ.…”
Section: Jhep02(2015)173mentioning
confidence: 99%
“…We will assume these conditions henceforth. Our approach is an adaptation of Aomoto's method [1], which is also detailed in depth in Chapter 4.6 of [22].…”
Section: Jhep02(2015)173mentioning
confidence: 99%