scientific article; zbMATH DE number 203012

zbMath0788.33007MaRDI QIDQ4694946

Kevin W. J. Kadell

Publication date: 20 June 1993

Full work available at URL: http://www.numdam.org/item?id=CM_1993__87_1_5_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Jack polynomialsSelberg's integral

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70)

Related Items

The Selberg-Jack symmetric functions ⋮ Single-particle Green function in the Calogero-Sutherland model for rational couplings \(\beta=p/q\) ⋮ Exact solvability and asymptotic aspects of generalized XX0 spin chains ⋮ Orbifolds and exact solutions of strongly-coupled matrix models ⋮ Towards the proof of AGT relations with the help of the generalized Jack polynomials ⋮ A direct proof of AGT conjecture at {\(\beta\)} = 1 ⋮ The AFLT \(q\)-Morris constant term identity ⋮ The importance of the Selberg integral ⋮ On combinatorial expansion of the conformal blocks arising from AGT conjecture ⋮ Nonsymmetric Jack polynomials and integral kernels ⋮ AFLT-type Selberg integrals ⋮ Selberg integral and \(\mathrm{SU}(N)\) AGT conjecture ⋮ Singular vectors of the Ding-Iohara-Miki algebra ⋮ Toeplitz minors and specializations of skew Schur polynomials ⋮ Matching branches of a nonperturbative conformal block at its singularity divisor ⋮ Fractional statistics in one dimension: View from an exactly solvable model ⋮ \(q\)-Selberg integrals and Macdonald polynomials ⋮ Superintegrability summary

Cites Work

• Jack symmetric functions and some combinatorial properties of Young symmetrizers
• The Selberg-Jack symmetric functions
• Some combinatorial properties of Jack symmetric functions
• The q-Selberg Polynomials for n = 2
• Jacobi Polynomials Associated with Selberg Integrals
• A Proof of the $G_2 $ Case of Macdonald’s Root System-Dyson Conjecture
• A Proof of Some q-Analogues of Selberg’s Integral for $k=1$
• A Proof of Askey’s Conjectured q-Analogue of Selberg’s Integral and a Conjecture of Morris
• Une q-Intégrale de Selberg et Askey
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