New transformations for elliptic hypergeometric series on the root system An
经典分析与常微分方程
2007-05-23 v1 量子代数
摘要
Recently, Kajihara gave a Bailey-type transformation relating basic hypergeometric series on the root system An, with different dimensions n. We give, with a new, elementary, proof, an elliptic analogue of this transformation. We also obtain further Bailey-type transformations as consequences of our result, some of which are new also in the case of basic and classical hypergeometric series.
引用
@article{arxiv.math/0305379,
title = {New transformations for elliptic hypergeometric series on the root system An},
author = {Hjalmar Rosengren},
journal= {arXiv preprint arXiv:math/0305379},
year = {2007}
}
备注
10 pages