A family of integral transformations and basic hypergeometric series

Communications in Mathematical Physics

Volumn 263, Issue 2, 2006, Pages 439-460

  Shiraishi, Jun'ichi ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33644610630     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-005-1504-5     Document Type: Article

References (11)

1. 2) and Baxter's eight-vertex model. Int. J. Mod. Phys. A 19, 363-380 (2004)
2. Baxter, R.J.: Exactly Solved Models in Statistical Mechanics. London: Academic Press, 1982
3. Macdonald, I.G.: Symmetric Functions and Hall Polynomials (2nd ed.). Oxford: Oxford University Press, 1995
4. Bressoud, D.M.: A Matrix Inverse. Proc. AMS 88, 446-448 (1983)
5. Gasper, G., Rahman, M.: Basic Hypergeometric Series. Cambridge: Cambridge University Press, 1990
6. Heckman, G.J., Opdam, E.M.: Root systems and hypergeometric function. I. Compositio Math. 64, 329-352 (1987)
7. Shiraishi, J.: Lectures on Quantum Integrable Systems. SGC Library Vol. 28 (in Japanese), Tokyo:Saiensu-Sha Co.,Ltd, 2003
8. Jing, N.H., Józefiak, T.: A formula for two-row Macdonald functions. Duke Math. J. 67, 377-385 (1992)
9. Lassalle, M., Schlosser, M.: Inversion of the Pieri formula for Macdonald polynomials. To appear in Adv. Math., DOI:10.1016/j.aim.2005.03.009
10. Shiraishi, J.: A Conjecture about Raising Operators for Macdonald Polynomials. Lett. Math. Phys. 73 1, 71-81 (2005)
11. Awata, H., Matsuo, Y., Odake, S., Shiraishi, J.: Collective field theory, Calogero-Sutherland model and generalized matrix models. Phys. Lett. B 347, 49-55 (1995)