Evaluation of the $B{C}_n$ elliptic Selberg integral via the fundamental invariants

Abstract

We give an alternative proof of the evaluation formula for the elliptic Selberg integral of type $B{C}_n$ as an application of the fundamental $B{C}_n$-invariants.

15 pages. V2: minor corrections

Cited by in corpus (3)

• AFLT-type Selberg integrals
• A generalization of the Sears--Slater transformation and elliptic Lagrange interpolation of type $B{C}_n$
• A determinant formula associated with the elliptic hypergeometric integrals of type $B{C}_n$