A \(q\)-analog of the balanced \(_ 3F_ 2\) summation theorem for hypergeometric series in \(U(n)\)

DOI10.1006/aima.1993.1023zbMath0791.33016OpenAlexW2066339080MaRDI QIDQ1261128

Stephen C. Milne

Publication date: 7 July 1994

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1993.1023

zbMATH Keywords

unitary groupssummation theorem

Mathematics Subject Classification ID

Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (4)

Balanced \(_ 3\phi_ 2\) summation theorems for \(U(n)\) basic hypergeometric series ⋮ Generalized bibasic hypergeometric series and their \(U(n)\) extensions ⋮ \(U(n)\) very-well-poised \(_{10}\phi_ 9\) transformations ⋮ Classical partition functions and the \(U(n+1)\) Rogers-Selberg identity

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