A nonterminating \(_8\phi_7\) summation for the root system \(C_r\).

DOI10.1016/S0377-0427(03)00632-0zbMath1059.33026arXivmath/0211151OpenAlexW1496932244MaRDI QIDQ1414351

Michael J. Schlosser

Publication date: 20 November 2003

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

Full work available at URL: https://arxiv.org/abs/math/0211151

zbMATH Keywords

\(q\)-seriesdeterminant methodmultiple \(q\)-integralsnonterminating \(_8\phi_7\) summationroot system \(C_r\)

Mathematics Subject Classification ID

(q)-gamma functions, (q)-beta functions and integrals (33D05) Basic hypergeometric functions associated with root systems (33D67)

Related Items

Nonterminating q-Whipple Transformations for Basic Hypergeometric Series in U(n) ⋮ Short proofs of summation and transformation formulas for basic hypergeometric series ⋮ Multiple expansion formulas over root systems ⋮ Summations and transformations for multiple basic and elliptic hypergeometric series by determinant evaluations ⋮ Theta hypergeometric integrals

Cites Work

• \(D_n\) basic hypergeometric series
• Elementary derivations of identities for bilateral basic hypergeometric series
• Summation and transformation formulas for elliptic hypergeometric series.
• Summation theorems for multidimensional basic hypergeometric series by determinant evaluations
• Nonterminating q-Whipple Transformations for Basic Hypergeometric Series in U(n)
• Another q-Extension of the Beta Function
• Applications of Basic Hypergeometric Functions
• The major counting of nonintersecting lattice paths and generating functions for tableaux
• Cylindric Partitions
• WELL-POISED BASIC HYPERGEOMETRIC SERIES
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