Article overview
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 seriesAngular momentum coupling coefficientClebsch-Gordanor 3-$j$ coefficientrecurrence relations.
AMS Subject Classification
33C20, 33C90.
Reference information
How to Cite
R. Subramanian, K. V. Murugan, K. Srinivasa Rao (2024). ON NEW FOUR-TERM RECURRENCE RELATIONS FOR THE 3-$j$ COEFFICIENT. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 12(1), 69-74.