A Short Proof of Selberg’s Generalized Beta Formula
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Publication:3211615
DOI10.1515/form.1991.3.415zbMath0723.33002OpenAlexW2360064607MaRDI QIDQ3211615
Publication date: 1991
Published in: Forum Mathematicum (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/186399
Related Items (28)
Interlacing adjacent levels of \(\beta\)-Jacobi corners processes ⋮ Convergence and an explicit formula for the joint moments of the circular Jacobi \(\beta\)-ensemble characteristic polynomial ⋮ Evaluation of the $BC_n$ elliptic Selberg integral via the fundamental invariants ⋮ Singular values and evenness symmetry in random matrix theory ⋮ Intertwinings of beta-Dyson Brownian motions of different dimensions ⋮ Asymptotics of discrete \(\beta \)-corners processes via two-level discrete loop equations ⋮ Matrix addition and the Dunkl transform at high temperature ⋮ General β-Jacobi Corners Process and the Gaussian Free Field ⋮ A bilateral extension of the $q$-Selberg integral ⋮ Multilevel Dyson Brownian motions via Jack polynomials ⋮ New multiple \(_{6} \psi _{6}\) summation formulas and related conjectures ⋮ The importance of the Selberg integral ⋮ The \(q\)-Dixon-Anderson integral and multi-dimensional \(_1\psi_1\) summations ⋮ On combinatorial expansion of the conformal blocks arising from AGT conjecture ⋮ Combinatorial proof of Selberg's integral formula ⋮ On the generalised Selberg integral of Richards and Zheng ⋮ Interpretations of some parameter dependent generalizations of classical matrix ensembles ⋮ Transformations of elliptic hypergeometric integrals ⋮ A simple proof of an Aomoto-type extension of Askey's last conjectured Selberg \(q\)-integral ⋮ A random matrix decimation procedure relating \(\beta = 2/( r + 1)\) to \(\beta = 2( r + 1)\) ⋮ On the distribution of polynomials with bounded roots. I: Polynomials with real coefficients ⋮ The boundary of the orbital beta process ⋮ Tridiagonal realization of the antisymmetric Gaussian β-ensemble ⋮ Intertwinings for general \(\beta\)-Laguerre and \(\beta\)-Jacobi processes ⋮ Selberg integral over local fields ⋮ A new approach to constant term identities and Selberg-type integrals ⋮ Exact diagonalization of 1D interacting spinless Fermions ⋮ The connection problem associated with a Selberg type integral and the q-Racah polynomials
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