A new multivariable \(_{6 } \psi _{6 }\) summation formula
From MaRDI portal
Publication:2269013
DOI10.1007/s11139-007-9017-9zbMath1183.33032arXivmath/0607122OpenAlexW3122793270MaRDI QIDQ2269013
Publication date: 15 March 2010
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0607122
Related Items
Expansion formulas for multiple basic hypergeometric series over root systems ⋮ Gustafson-Rakha-type elliptic hypergeometric series ⋮ New multiple \(_{6} \psi _{6}\) summation formulas and related conjectures ⋮ Multidimensional matrix inversions and elliptic hypergeometric series on root systems ⋮ Multilateral inversion of \(A_{r}\), \(C_{r}\), and \(D_{r}\) basic hypergeometric series ⋮ Elliptic well-poised Bailey transforms and lemmas on root systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The \(C_ \ell\) Bailey transform and Bailey lemma
- \(BC_n\)-symmetric abelian functions
- Multidimensional matrix inversions and \(A_r\) and \(D_r\) basic hypergeometric series
- A new multidimensional matrix inverse with applications to multiple \(q\)-series
- Balanced \(_ 3\phi_ 2\) summation theorems for \(U(n)\) basic hypergeometric series
- Generalized bibasic hypergeometric series and their \(U(n)\) extensions
- On certain multiple Bailey, Rogers and Dougall type summation formulas
- Elliptic hypergeometric series on root systems.
- On Warnaar's elliptic matrix inversion and Karlsson--Minton-type elliptic hypergeometric series
- A product formula for Jackson integral associated with the root system \(F_4\)
- Consequences of the \(A_ l\) and \(C_ l\) Bailey transform and Bailey lemma
- Summation theorems for multidimensional basic hypergeometric series by determinant evaluations
- Some new applications of matrix inversions in \(A_r\)
- Inversion of the Pieri formula for Macdonald polynomials
- A Matrix Inverse
- Multilateral Summation Theorems for Ordinary and Basic Hypergeometric Series in $U(n)$.
- On Hypergeometric Series Well-Poised in $SU(n)$
- Shorter Notes: A Simple Proof of Ramanujan's 1 Ψ 1 Sum
- The Very Well Poised 6 ψ 6
- A Summation Theorem for Hypergeometric Series Very-Well-Poised on $G_2 $
- A new matrix inverse
- SERIES OF HYPERGEOMETRIC TYPE WHICH ARE INFINITE IN BOTH DIRECTIONS