Bull. Korean Math. Soc. 2009; 46(6): 1061-1068
Printed November 1, 2009
https://doi.org/10.4134/BKMS.2009.46.6.1061
Copyright © The Korean Mathematical Society.
K. Srinivasa Rao and R. Suresh
SASTRA University and SASTRA University
The intimate relation between the 3-$j$ coefficient in Quantum Theory of Angular Momentum (QTAM) and the ${}_3F_2(1)$ hypergeometric series is exploited to derive new summation theorems, from formulas for the 3-$j$ coefficient.
Keywords: angular momentum coupling coefficient, Clebsch-Gordan coefficient, generalized hypergeometric series
MSC numbers: 33C20, 33C90, 81Q99
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