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math.CV2019★ 3 cited
A determinant formula associated with the elliptic hypergeometric integrals of type
Masahiko Ito, Masatoshi Noumi
We establish a determinant formula for the bilinear form associated with the elliptic hypergeometric integrals of type by studying the structure of -difference equations…
math.CV2019
Elliptic extension of Gustafson's -integral of type
Masahiko Ito, Masatoshi Noumi
The evaluation formula for an elliptic beta integral of type is proved. The integral is expressed by a product of Ruijsenaars' elliptic gamma functions, and the formula inclu…