  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.
