A simple direct proof is given of a fundamental identity involving Schur functions which contains as special cases the identity responsible for Good's proof of the Dyson conjecture and the summation theorem of Biedenharn and Louck that appears frequently in dealing with the explicit matrix elements
โฆ LIBER โฆ
On Hypergeometric Series Well-Poised in $SU(n)$
โ Scribed by Holman, III, W. J.; Biedenharn, L. C.; Louck, J. D.
- Book ID
- 118201499
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1976
- Tongue
- English
- Weight
- 966 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0036-1410
- DOI
- 10.1137/0507043
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Schur functions, Good's identity, and hy
โ
R.A Gustafson; S.C Milne
๐
Article
๐
1983
๐
Elsevier Science
๐
English
โ 531 KB
Transformations of Well-Poised Hypergeom
โ
Bailey, W. N.
๐
Article
๐
1934
๐
Oxford University Press
๐
English
โ 141 KB
Well-Poised Hypergeometric Series and Co
โ
Whipple, F. J. W.
๐
Article
๐
1937
๐
Oxford University Press
๐
English
โ 242 KB
An Extension of Whipple's Theorem on Wel
โ
Bailey, W. N.
๐
Article
๐
1930
๐
Oxford University Press
๐
English
โ 200 KB
On the very-well-poised bilateral basic
โ
Zhizheng Zhang; Qiuxia Hu
๐
Article
๐
2010
๐
Elsevier Science
๐
English
โ 254 KB
A q-analog of the 5F4(1) summation theor
โ
S.C Milne
๐
Article
๐
1985
๐
Elsevier Science
๐
English
โ 797 KB
As an application of a general q-difference equation for basic hypergeometric series well-poised in SU(n), an elementary proof is given of a q-analog of Holman's SU(n) generalization of the terminating sF4( 1) summation theorem. This provides an SC/(n) generalization of the terminating e@s summation