Multiple elliptic hypergeometric series. An approach from the Cauchy determinant
The authors investigate a multiple generalization of elliptic hypergeometric series via the Cauchy determinant for the Weierstrass sigma function. They derive a duality transformation for multiple hypergeometric series. Then they use this result to obtain various transformation and summation formulas for very well-poised multiple hypergeometric series. Some of them seem to be new.
very well-poised multiple hypergeometric series
scientific article