Transformation and summation formulas for Kampé de Fériet series F0:31:1(1, 1)

Journal of Mathematical Analysis and Applications

Volumn 202, Issue 1, 1996, Pages 121-132

  Pitre, S N ^a   Van Der Jeugt, J ^a  

^a GHENT UNIVERSITY   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030586521     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0306     Document Type: Article

References (19)

1. 5, J. Math. Phys. 12 (1971), 594-605.
2. 2. P. Appell and J. Kampé de Fériet, "Fonctions hypergéométriques et hypersphériques," Gauthier-Villars, Paris, 1926.
3. 3. W. N. Bailey, "Generalized Hypergeometric Series," Cambridge Univ. Press, Cambridge, 1935.
4. 4. L. C. Biedenharn and J. D. Louck, "Angular Momentum in Quantum Physics," Addison-Wesley, Reading, Massachusetts, 1981.
5. 5. A. R. Edmonds, "Angular Momentum in Quantum Mechanics," University Press, Princeton, 1960.
6. 6. G. Gasper, private communication.
7. 7. G. Gasper and M. Rahman, "Basic Hypergeometric Series," Cambridge Univ. Press, Cambridge, 1990.
8. 8. N. T. H'ai, O. I. Marichev, and H. M. Srivastava, A note on the convergence of certain families of multiple hypergeometric series, J. Math. Anal. Appl. 164 (1992), 104-115.
9. 9. A. P. Jucys and A. A. Bandzaitis, "Angular Momentum in Quantum Physics," Mokslas, Vilnius, 1977.
10. 10. P. W. Karlsson, Hypergeometric functions with integral parameter differences, J. Math. Phys. 12 (1971), 270-271.
11. 11. P. W. Karlsson, Two hypergeometric summation formulae related to 9-j coefficients, J. Phys. A 27 (1994), 6943-6345.
12. 12. B. M. Minton, Generalized hypergeometric function of unit argument, J. Math. Phys. 11 (1970), 1375-1376.
13. 13. R. T. Sharp, Stretched X-coefficients, Nuclear Phys. A 95 (1967), 222-228.
14. 14. L. J. Slater, "Generalized Hypergeometric Functions," Cambridge Univ. Press, Cambridge, 1966.
15. 15. H. M. Srivastava and P. W. Karlsson, "Multiple Gaussian Hypergeometric Series," Halsted, New York, 1985.
16. 16. K. Srinivasa Rao and V. Rajeswari, "Quantum Theory of Angular Momentum: Selected Topics," Narosa Publishing House, New Delhi, 1993.
17. 17. J. Van der Jeugt, S. N. Pitre, and K. Srinivasa Rao, Multiple hypergeometric functions and 9-j coefficients, J. Phys. A 27 (1994), 5251-5264.
18. 18. D. A. Varshalovich, A. N. Moskalev, and V. K. Khersonskii, "Quantum Theory of Angular Momentum," World Scientific, Singapore, 1988.
19. 19. E. Wigner, On the matrices which reduce the Kronecker products of representations of S. R. groups, in "Quantum Theory of Angular Momentum" (L. C. Biedenharn and H. Van Dam, Eds.), Academic Press, New York, 1965.