Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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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.

On summation theorems for the ${}_3F_2(1)$ series

K. Srinivasa Rao and R. Suresh

SASTRA University and SASTRA University

Abstract

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