Summations and transformations for multiple basic and elliptic hypergeometric series by determinant evaluations
经典分析与常微分方程
2019-02-22 v2 组合数学
量子代数
摘要
Using multiple q-integrals and a determinant evaluation, we establish a multivariable extension of Bailey's nonterminating 10-phi-9 transformation. From this result, we deduce new multivariable terminating 10-phi-9 transformations, 8-phi-7 summations and other identities. We also use similar methods to derive new multivariable 1-psi-1 summations. Some of our results are extended to the case of elliptic hypergeometric series.
引用
@article{arxiv.math/0304249,
title = {Summations and transformations for multiple basic and elliptic hypergeometric series by determinant evaluations},
author = {Hjalmar Rosengren and Michael Schlosser},
journal= {arXiv preprint arXiv:math/0304249},
year = {2019}
}
备注
29 pages, minor changes; to appear in Indag. Math., special volume dedicated to Tom Koornwinder