A nonterminating 8-phi-7 summation for the root system C_r

Abstract

Using multiple q-integrals and a determinant evaluation, we establish a nonterminating 8-phi-7 summation for the root system C_r. We also give some important specializations explicitly.

12 pages

References in corpus (2)

• Summation and transformation formulas for elliptic hypergeometric series
• Elementary derivations of identities for bilateral basic hypergeometric series

Cited by in corpus (3)

• Summations and transformations for multiple basic and elliptic hypergeometric series by determinant evaluations
• Short Proofs of Summation and Transformation Formulas for Basic Hypergeometric Series
• Theta hypergeometric integrals