A new multivariable 6-psi-6 summation formula
arXiv:math/0607122 · doi:10.1007/s11139-007-9017-9
Abstract
By multidimensional matrix inversion, combined with an A_r extension of Jackson's 8-phi-7 summation formula by Milne, a new multivariable 8-phi-7 summation is derived. By a polynomial argument this 8-phi-7 summation is transformed to another multivariable 8-phi-7 summation which, by taking a suitable limit, is reduced to a new multivariable extension of the nonterminating 6-phi-5 summation. The latter is then extended, by analytic continuation, to a new multivariable extension of Bailey's very-well-poised 6-psi-6 summation formula.
16 pages
Cited by in corpus (5)
- 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
- Gustafson-Rakha-Type Elliptic Hypergeometric Series
- Felder's elliptic quantum group and elliptic hypergeometric series on the root system A_n