A new symmetry related to SU(n) for clasical basic hypergeometric series

DOI10.1016/0001-8708(85)90106-9zbMath0586.33012OpenAlexW2074091640MaRDI QIDQ1071917

Stephen C. Milne

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0001-8708(85)90106-9

zbMATH Keywords

\(_ 6\Phi _ 5\) summation theoremwell-poised basic hypergeometric series

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (14)

Basic hypergeometric series very well-poised in U(n) ⋮ Relations for Clebsch–Gordan and Racah coefficients in suq(2) and Yang–Baxter equations ⋮ A q-analog of the Gauss summation theorem for hypergeometric series in U(n) ⋮ Multivariable biorthogonal continuous–discrete Wilson and Racah polynomials ⋮ A new class of symmetric polynomials defined in terms of tableaux ⋮ New relations and identities for generalized hypergeometric coefficients ⋮ Classical partition functions and the \(U(n+1)\) Rogers-Selberg identity ⋮ Generalizations of Milne’s U(n + 1) q-Chu-Vandermonde summation ⋮ Multivariable Wilson polynomials ⋮ The factorial Schur function ⋮ A q-analog of the \(_5F_4(1)\) summation theorem for hypergeometric series well-poised in \(SU(n)\) ⋮ An elementary proof of the Macdonald identities for \(A_{\ell}^{(1)}\) ⋮ A q-analog of hypergeometric series well-poised in SU(n) and invariant G-functions ⋮ A q-analog of transposition symmetry for invariant G-functions

Cites Work

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• A q-analog of hypergeometric series well-poised in SU(n) and invariant G-functions
• \(U(n)\) Wigner coefficients, the path sum formula, and invariant G-functions
• Hypergeometric series well-poised in SU(n) and a generalization of Biedenharn's G-functions
• The invariant polynomials characterizing \(U(n)\) tensor operators \(<p,q,\dots ,p,0,\dots ,0>\) having maximal null space
• Applications of Basic Hypergeometric Functions
• On Hypergeometric Series Well-Poised in $SU(n)$
• Über Polynome, die gleichzeitig zwei verschiedenen Orthogonalsystemen angehören
• Über die höheren Heineschen Reihen und eine einheitliche Theorie der sogenannten speziellen Funktionen

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