Towards the canonical tensor operators of uq(3). II. The denominator function problem

Journal of Mathematical Physics

Volumn 40, Issue 11, 1999, Pages 5939-5955

  Ališauskas, Sigitas ^a  

^a VILNIUS UNIVERSITY   (Lithuania)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033240104     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.533063     Document Type: Article

References (38)

1. L. C. Biedenharn, A. Giovannini, and J. D. Louck, J. Math. Phys. 8, 691 (1967).
2. J. D. Louck, Am. J. Phys. 38, 3 (1970).
3. L. C. Biedenharn, M. A. Lohe, and J. D. Louck, J. Math. Phys. 26, 1458 (1985).
4. J. D. Louck, L. C. Biedenharn, and M. A. Lohe, J. Math. Phys. 29, 1106 (1988).
5. J. P. Draayer and Y. Akiyama, J. Math. Phys. 14, 1904 (1973).
6. L. C. Biedenharn, R. A. Gustafson, M. A. Lohe, J. D. Louck, and S. Milne, in Special Functions: Group Theoretical Aspects and Applications, edited by R. A. Askey, T. H. Koornwinder, and W. Schempp (Reidel. Dordrecht, 1984), p. 129.
7. L. C. Biedenharn, J. D. Louck, E. Chacón, and M. Ciftan, J. Math. Phys. 13, 1957 (1972).
8. L. C. Biedenharn and J. D. Louck, J. Math. Phys. 13, 1985 (1972).
9. W. J. Holman III, L. C. Biedenharn, and J. D. Louck, SIAM (Soc. Ind. Appl. Math.) J. Math. Anal. 7, 529 (1976).
10. S. C. Milne, Adv. Math. 36, 169 (1980).
11. S. C. Milne, Adv. Math. 58, 1 (1985).
12. S. Ališauskas, J. Math. Phys. 37, 5719 (1996).
13. S. Ališauskas, J. Math. Phys. 33, 1983 (1992).
14. S. Ališauskas, J. Phys. A 30, 4615 (1997).
15. R. M. Asherova, J. P. Draayer, Yu. I. Kharitonov, and Yu. F. Smirnov, in Quantum Group Symposium at Group 21 (Goslar 1996), edited by H.-D. Doebner and V. K. Dobrev (Heron, Sofia, 1996), p. 323.
16. R. M. Asherova, J. P. Draayer, Yu. I. Kharitonov, and Yu. F. Smirnov, Found. Phys. 27, 1035 (1997).
17. R. M. Asherova, J. P. Draayer, Yu. I. Kharitonov, and Yu. F. Smirnov, Yad. Fiz. 61, 1930 (1998).
18. J″-z″.
19. S. Ališauskas, J. Math. Phys. 29, 2351 (1988).
20. S. Ališauskas, J. Phys. A 28, 985 (1995).
21. J. D. Louck, M. A. Lohe, and L. C. Biedenharn, J. Math. Phys. 16, 2408 (1975).
22. Yu. F. Smirnov, V. N. Tolstoy, and Yu. I. Kharitonov, Yad. Fiz. 54, 721 (1991); Sov. J. Nucl. Phys. 54, 437 (1991).
23. Yu. F. Smirnov, V. N. Tolstoy, and Yu. I. Kharitonov, Yad. Fiz. 54, 721 (1991); Sov. J. Nucl. Phys. 54, 437 (1991).
24. S. Ališauskas and Yu. F. Smirnov, J. Phys. A 27, 5925 (1994).
25. J̃′+z̃′ , and degree of q in the r.h.s. of Eq. (4.11) should be changed to opposite.
26. A. P. Jucys and A. A. Bandzatis, Theory of Angular Momentum in Quantum Mechanics, 2nd ed. (Mokslas, Vilnius, 1977) (in Russian).
27. R. M. Asherova, Yu. F. Smirnov, and V. N. Tolstoy, Yad. Fiz. 59, 1859 (1996); Czech. J. Phys. 46, 127 (1996).
28. R. M. Asherova, Yu. F. Smirnov, and V. N. Tolstoy, Yad. Fiz. 59, 1859 (1996); Czech. J. Phys. 46, 127 (1996).
29. G. Gasper and M. Rahman, Basic Hyper geometric Series, Vol. 35 in Encyclopedia of Mathematics and Its Applications, edited by G.-C. Rota (Cambridge University Press, Cambridge, 1990).
30. M. A. Lohe and L. C. Biedenharn, SIAM (Soc. Ind. Appl. Math.) J. Math. Anal. 25, 218 (1994).
31. J. D. Louck and L. C. Biedenharn, J. Math. Anal. Appl. 59, 423 (1977).
32. L. C. Biedenharn and J. D. Louck, Adv. in Appl. Math. 9, 447 (1988).
33. L. C. Biedenharn, A. M. Bincer, M. A. Lohe, and J. D. Louck, Adv. in Appl. Math. 13, 62 (1992).
34. A. Lascoux, B. Leclerc, and J.-Y. Thibon, J. Math. Phys. 38, 1041 (1998).
35. B. Leclerc and J.-Y. Thibon, math.QA/9809122.
36. A. N. Kirillov and M. Shimozono, math.QA/9803062.
37. M. Shimozono and J. Weyman, math.QA/9804036.
38. L. C. Biedenharn, M. A. Lohe, and J. D. Louck, in Proceedings of the Fourth International Colloquium on Group Theoretical Methods in Physics, Nijrnegen, The Netherlands, 1975, edited by A. Janner, T. Jansen, and M. Boon (Springer, New York, 1976), p. 395.