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Research Article

ON NEW THREE-TERM RECURRENCE RELATIONS FOR THE 3-$j$ COEFFICIENT

R
R. Subramanian Department of Mathematics, Sri Sairam Engineering College, Chennai - 600044, INDIA
K
K. V. Murugan Department of Mathematics, Sri Sairam Engineering College, Chennai - 600044, INDIA
K
K. Srinivasa Rao The Institute of Mathematical Sciences, Chennai - 600113, INDIA
Volume 12, Issue 1 Pages 61-68 December 30, 2024 179 downloads
Article overview

Abstract

Six new recurrence relations have been derived for the Clebsch-Gordan coefficient, also referred to as the Wigner 3-j coefficient. These are a consequence of the recurrence relations for the 3F2(a; b; z) derived recently by Tamara Antonova, Roman Dmytryshyn and Serhii Sharyn(2021).

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 THREE-TERM RECURRENCE RELATIONS FOR THE 3-$j$ COEFFICIENT. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 12(1), 61-68.
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