Discrete analogues of Macdonald-Mehta integrals

DOI10.1016/j.jcta.2016.06.005zbMath1343.05160arXiv1601.06536OpenAlexW2263906545MaRDI QIDQ739387

Richard P. Brent, S. Ole Warnaar, Christian Krattenthaler

Publication date: 18 August 2016

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.06536

zbMATH Keywords

Schur functionselliptic hypergeometric seriesSelberg integralsclassical group charactersminor summation formulasemi-standard tableaux

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (7)

Determinantal elliptic Selberg integrals ⋮ Skew Howe duality and limit shapes of Young diagrams ⋮ A Nekrasov-Okounkov formula for Macdonald polynomials ⋮ Classical discrete symplectic ensembles on the linear and exponential lattice: skew orthogonal polynomials and correlation functions ⋮ Evaluation of Binomial Double Sums Involving Absolute Values ⋮ Identities from representation theory ⋮ Evaluations of certain Catalan-Hankel Pfaffians via classical skew orthogonal polynomials

Uses Software

• SIGMA

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