9 citations · 63 across the 14 of their papers we have counts for
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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…
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…
Connection Formula for the Jackson Integral of Type and Elliptic Lagrange Interpolation
Masahiko Ito, Masatoshi Noumi
We investigate the connection problem for the Jackson integral of type . Our connection formula implies a Slater type expansion of a bilateral multiple basic hypergeometric se…
A generalization of the Sears--Slater transformation and elliptic Lagrange interpolation of type
Masahiko Ito, Masatoshi Noumi
The connection formula for the Jackson integral of type is obtained in the form of a Sears--Slater type expansion of a bilateral multiple basic hypergeometric series as a li…
Evaluation of the elliptic Selberg integral via the fundamental invariants
Masahiko Ito, Masatoshi Noumi
We give an alternative proof of the evaluation formula for the elliptic Selberg integral of type as an application of the fundamental -invariants.
Derivation of a elliptic summation formula via the fundamental invariants
Masahiko Ito, Masatoshi Noumi
We give an alternative proof of an elliptic summation formula of type by applying the fundamental invariants to the study of Jackson integrals associated with the sum…