Abstract

In our earlier article [9] “On new three-term recurrence relations for the 3-j coefficient”, we derived six new three-term recurrence relations of fundamental importance in the Quantum Theory of Angular Momentum. In this article, we derive new four term recurrence relations for the 3-j coefficient, as a direct conse quence of the recurrence relations for the 3F2(a; b; z) given in Tamara Antonova, Roman Dymtryshyn and Serhii Sharyn (2021) [1]. The derived 4-term recurrence relations for the 3-j coefficient are new.

Keywords and Phrases

Generalized hypergeometric series, Angular momentum coupling coefficient, Clebsch-Gordan, or 3-$j$ coefficient, recurrence relations.

A.M.S. subject classification

33C20, 33C90.

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