Abstract
The evaluation formula for an elliptic beta integral of type G2 is proved. The integral is expressed by a product of Ruijsenaars' elliptic gamma functions, and the formula includes that of Gustafson's q-beta integral of type G2 as a special limiting case as p→0. The elliptic beta integral of type BC1 by van Diejen and Spiridonov is effectively used in the proof of the evaluation formula.
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