Generalizations of Milne’s U(n + 1) q-Chu-Vandermonde summation
DOI10.1007/s10587-016-0263-0zbMath1389.33015OpenAlexW2470113394MaRDI QIDQ5739700
Publication date: 19 July 2016
Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10338.dmlcz/145731
Binomial coefficients; factorials; (q)-identities (11B65) Theory of matrix inversion and generalized inverses (15A09) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) 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 (1)
Cites Work
- Operator identities and several \(U(n+1)\) generalizations of the Kalnins--Miller transformations
- \(q\)-differential operator identities and applications
- Generalizations of Milne's \(\mathrm{U}(n+1)q\)-binomial theorems
- An elementary proof of the Macdonald identities for \(A_{\ell}^{(1)}\)
- A new symmetry related to SU(n) for clasical basic hypergeometric series
- \(C_n\) and \(D_n\) very-well-poised \(_{10}\varphi_9\) transformations
- Balanced \(_ 3\phi_ 2\) summation theorems for \(U(n)\) basic hypergeometric series
- Parameter augmentation for basic hypergeometric series. II
- Some operator identities and \(q\)-series transformation formulas
- Heine transformations for a new kind of basic hypergeometric series in \(U(n)\)
- \(U(n)\) very-well-poised \(_{10}\phi_ 9\) transformations
- Summation theorems for multidimensional basic hypergeometric series by determinant evaluations
- Some new applications of matrix inversions in \(A_r\)
- Generating functions for certain q-orthogonal polynomials
- Extensions of \(q\)-Chu-Vandermonde's identity
- 𝑞-difference operators, orthogonal polynomials, and symmetric expansions
- Multilateral Summation Theorems for Ordinary and Basic Hypergeometric Series in $U(n)$.
- Some q-Beta and Mellin–Barnes Integrals with Many Parameters Associated to the Classical Groups
- An $SU(n)$q-Beta Integral Transformation and Multiple Hypergeometric Series Identities
- SOME APPLICATIONS OF q-DIFFERENTIAL OPERATOR
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