Heine transformations for a new kind of basic hypergeometric series in \(U(n)\)

DOI10.1016/0377-0427(95)00260-XzbMath0853.33015MaRDI QIDQ1919447

Robert A. Gustafson, Christian Krattenthaler

Publication date: 23 July 1996

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80) Other basic hypergeometric functions and integrals in several variables (33D70)

Related Items

Generalized bibasic hypergeometric series and their \(U(n)\) extensions, Heine's method and \(A_{n}\) to \(A_{m}\) transformation formulas, Generalizations of Milne’s U(n + 1) q-Chu-Vandermonde summation, A new multidimensional matrix inverse with applications to multiple \(q\)-series

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An elementary proof of the Macdonald identities for \(A_{\ell}^{(1)}\)
• Summation Theorems for Hypergeometric Series in $U(n)$
• The major counting of nonintersecting lattice paths and generating functions for tableaux
• Proof of a Conjecture by Dyson