Coupling coefficients for Lie algebra representations and addition formulas for special functions

Journal of Mathematical Physics

Volumn 38, Issue 5, 1997, Pages 2728-2740

  Van Der Jeugt, J ^a  

^a GHENT UNIVERSITY   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031493450     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531984     Document Type: Article

References (10)

1. Ya. I. Granovskii and A. S. Zhedanov, J. Phys. A 26, 4339 (1993).
2. R. Askey, Orthogonal Polynomials and Special Functions (Arrowsmith, Bristol, 1975).
3. A. Erdélyi, Higher Transcendental Functions (McGraw-Hill, New York, 1953), Vol. 2.
4. M. Abramowitz and I. A. Segun, Handbook of Mathematical Functions (Dover, New York, 1965).
5. H. Bacry, J. Math. Phys. 31, 2061 (1990).
6. L. J. Slater, Generalized Hypergeometric Functions (Cambridge U.P., Cambridge, 1966).
7. N. Ja. Vilenkin and A. U. Klimyk, Representation of Lie Groups and Special Functions (Kluwer, Dordrecht, 1991), Vol. 1.
8. W. Miller Jr., Lie Theory and Special Functions (Academic, New York, 1968).
9. D. A. Varshalovich, A. N. Moskalev, and V. K. Khersonskii, Quantum Theory of Angular Momentum (Nauka, Leningrad, 1975) (in Russian); English edition (World Scientific, Singapore, 1988).
10. H. T. Koelink and J. Van der Jeugt, "Convolutions for orthogonal polynomials from Lie and quantum algebra representations," University of Amsterdam Report 96-11 (1996); also available as q-alg/9607010.