Hankel hyperdeterminants and Selberg integrals

DOI10.1088/0305-4470/36/19/306zbMath1058.33019arXivmath-ph/0211044OpenAlexW3099228420MaRDI QIDQ4707620

Jean-Yves Thibon, Jean-Gabriel Luque

Publication date: 2003

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0211044

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Determinants, permanents, traces, other special matrix functions (15A15) Other functions defined by series and integrals (33E20)

Related Items

Positive semi-definiteness and sum-of-squares property of fourth order four dimensional Hankel tensors, The partition function of log-gases with multiple odd charges, \(s\)-Hankel hypermatrices and \(2\times 2\) determinantal ideals, Orthogonal polynomials through the invariant theory of binary forms, Computing extreme eigenvalues of large scale Hankel tensors, Pfaffian decomposition and a Pfaffian analogue of \(q\)-Catalan Hankel determinants, An efficient tree decomposition method for permanents and mixed discriminants, The importance of the Selberg integral, Hyperdeterminantal expressions for Jack functions of rectangular shapes, AFLT-type Selberg integrals, A determinantal approach to irrationality, Hankel hyperdeterminants, rectangular Jack polynomials and even powers of the Vandermonde, Fast Hankel tensor–vector product and its application to exponential data fitting, Unnamed Item, Hyperdeterminantal point processes, Lecture hall tableaux, Tensor slice rank and Cayley's first hyperdeterminant, Advanced determinant calculus: a complement, Asymptotics of Selberg-like integrals: The unitary case and Newton's interpolation formula, Applications of minor summation formula. III: Plücker relations, lattice paths and Pfaffian identities