A q-analog of the \(_5F_4(1)\) summation theorem for hypergeometric series well-poised in \(SU(n)\)
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Publication:1071915
DOI10.1016/0001-8708(85)90104-5zbMath0586.33010OpenAlexW2062117745MaRDI QIDQ1071915
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)90104-5
\(_ 5F_ 4(1)\) summation theorem\(_ 6\psi _ 5\) summation theorembasic hypergeometric series well-poised in SU(n)q-analog of Holman's SU(n) generalization
Connections of hypergeometric functions with groups and algebras, and related topics (33C80) (q)-gamma functions, (q)-beta functions and integrals (33D05)
Related Items (13)
Basic hypergeometric series very well-poised in U(n) ⋮ Nonterminating q-Whipple Transformations for Basic Hypergeometric Series in U(n) ⋮ A q-analog of the Gauss summation theorem for hypergeometric series in U(n) ⋮ On certain multiple Bailey, Rogers and Dougall type summation formulas ⋮ 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 ⋮ Nonsymmetric interpolation Macdonald polynomials and \({\mathfrak {gl}}_n\) basic hypergeometric series ⋮ Multivariable Wilson polynomials ⋮ The factorial Schur function ⋮ 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
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