It is shown that the triple sum series of Jucys and Bandzaitis [Angular Momentum Theory in Quantum Physics (Vilnius, Mokslas, 1977)] for the 9j coefficient can be identified with a formal triple hypergeometric series due to Lauricella–Saran–Srivastava [G. Lauricella, Rend. Circ. Mat. Palermo 7, 111 (1893); L. Saran, Ganita 5, 77 (1954); H. M. Srivastava, Ganita 5, 97 (1964)].
REFERENCES
1.
L. C. Biedenharn and J. D. Louck, “Angular momentum in quantum physics,” in Encyclopedia of Mathematics and its Applications (Addison‐Wesley, New York, 1981), Vol. 8. The expression (3.326), on p. 130 of this reference, contains two misprints. They are the factor occurs twice instead of once and the factor should be
2.
K. Srinivasa Rao and K. Venkatesh, Fifth International Colloquium on Group Theoretical Methods in Physics (Academic, New York, 1977);
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A. P. Jucys and A. A. Bandzaitis, Angular Momentum Theory in Quantum Physics (Vilnius, Mokslas, 1977).
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5.
H. Exton, Multiple Hypergeometric Functions and Applications (Wiley, New York, 1976).
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also,
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K. Srinivasa Rao, V. Rajeswari, and C. B. Chiu, to be published in Comput. Phys. Commun.
12.
J. A. N. Lee, Numerical Analysis for Computers (Reinhold, New York, 1966).
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© 1989 American Institute of Physics.
1989
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