\(C_n\) and \(D_n\) very-well-poised \(_{10}\varphi_9\) transformations

DOI10.1007/s003659900089zbMath0936.33009OpenAlexW2465694500MaRDI QIDQ1281674

Gaurav Bhatnagar, Michael J. Schlosser

Publication date: 9 May 2000

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s003659900089

zbMATH Keywords

multiple basic hypergeometric seriesbasic hypergeometric series associated to root systems

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52) Other basic hypergeometric functions and integrals in several variables (33D70)

Related Items (14)

Nonterminating q-Whipple Transformations for Basic Hypergeometric Series in U(n) ⋮ Gustafson-Rakha-type elliptic hypergeometric series ⋮ Karlsson--Minton type hypergeometric functions on the root system \(C_{n}\) ⋮ Phénomènes de symétrie dans des formes linéaires en polyzêtas ⋮ Elliptic hypergeometric series on root systems. ⋮ Multilateral inversion of \(A_{r}\), \(C_{r}\), and \(D_{r}\) basic hypergeometric series ⋮ Heine's method and \(A_{n}\) to \(A_{m}\) transformation formulas ⋮ Elliptic well-poised Bailey transforms and lemmas on root systems ⋮ Generalizations of Milne’s U(n + 1) q-Chu-Vandermonde summation ⋮ A \(U(n + 1)\) Bailey lattice ⋮ A Method for q-Calculus ⋮ The \(C_n\) WP-Bailey chain ⋮ Expansions for \((q)_\infty^{n^2+2n}\) and basic hypergeometric series in \(U(n)\) ⋮ Summation and transformation formulas for elliptic hypergeometric series.

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