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Mathematics > Classical Analysis and ODEs

Title: Determinantal elliptic Selberg integrals

Abstract: 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. Special cases of these identities have found applications in combinatorics.
Comments: 10 pages
Subjects: Classical Analysis and ODEs (math.CA); Combinatorics (math.CO)
Cite as: arXiv:1803.05186 [math.CA]
  (or arXiv:1803.05186v1 [math.CA] for this version)

Submission history

From: Hjalmar Rosengren [view email]
[v1] Wed, 14 Mar 2018 10:14:49 GMT (9kb)