Mathematics > Classical Analysis and ODEs
[Submitted on 14 Mar 2018 (v1), last revised 27 Nov 2018 (this version, v2)]
Title:Determinantal elliptic Selberg integrals
View PDFAbstract:The classical Selberg integral contains a power of the Vandermonde determinant. When that power is a square, it is easy to prove Selberg's identity by interpreting it as a determinant of one-variable integrals. We give similar proofs of summation and transformation formulas for continuous and discrete elliptic Selberg integrals. In the continuous case, the same proof was previously given by Noumi. Special cases of these identities have found applications in combinatorics.
Submission history
From: Hjalmar Rosengren [view email][v1] Wed, 14 Mar 2018 10:14:49 UTC (9 KB)
[v2] Tue, 27 Nov 2018 14:52:23 UTC (9 KB)
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