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

Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 23

Volume : 12 , Issue : 1
DOI: https://doi.org/10.56827/JRSMMS.2024.1201.4
Author :
R. Subramanian (Department of Mathematics, Sri Sairam Engineering College, Chennai - 600044, INDIA)
K. V. Murugan (Department of Mathematics, Sri Sairam Engineering College, Chennai - 600044, INDIA)
K. Srinivasa Rao (The Institute of Mathematical Sciences, Chennai - 600113, INDIA)

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

A.M.S. subject classification

33C20, 33C90.

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