A nonterminating 8φ7 summation for the root system Cr

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摘要

Using multiple q-integrals and a determinant evaluation, we establish a nonterminating 8φ7 summation for the root system Cr. We also give some important specializations explicitly.

论文关键词：primary 33D67,secondary 05A30,33D05,Nonterminating 8φ7 summation,Nonterminating 3φ2 summation,q-series,Multiple q-integrals,Cr series,Ar series,U(n) series,Sp(r) series

论文评审过程：Received 11 November 2002, Available online 19 September 2003.

论文官网地址：https://doi.org/10.1016/S0377-0427(03)00632-0