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Discrete analogues of Macdonald–Mehta integrals

  • Published:2016-11 Issue: Volume:144 Page:80-138
  • ISSN:0097-3165
  • Container-title:Journal of Combinatorial Theory, Series A
  • language:en
  • Short-container-title:Journal of Combinatorial Theory, Series A

Author:

Brent Richard P.,Krattenthaler Christian,Warnaar Ole

Funder

Australian Research Council

Austrian Science Foundation

Publisher

Elsevier BV

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference49 articles.

1. Plane partitions (I): the MacMahon conjecture;Andrews,1978

2. Correlation kernels for discrete symplectic and orthogonal ensembles;Borodin;Comm. Math. Phys.,2009

3. Lie groups and Lie algebras;Bourbaki,2002

4. R.P. Brent, C. Krattenthaler, S.O. Warnaar, Non-intersecting lattice paths and identities for classical group characters, in preparation.

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1. Skew symplectic and orthogonal characters through lattice paths;European Journal of Combinatorics;2024-12

2. Skew Howe duality and limit shapes of Young diagrams;Journal of the London Mathematical Society;2023-09-09

3. Evaluations of certain Catalan-Hankel Pfaffians via classical skew orthogonal polynomials;Journal of Physics A: Mathematical and Theoretical;2021-06-07

4. Evaluation of Binomial Double Sums Involving Absolute Values;Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra;2020

5. Classical discrete symplectic ensembles on the linear and exponential lattice: skew orthogonal polynomials and correlation functions;Transactions of the American Mathematical Society;2019-09-23
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