RACAH POLYNOMIALS AND A 3-TERM RECURRENCE RELATION FOR THE RACAH COEFFICIENTS
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abstract
A three-term recurrence relation is derived for the Racah coefficients or 6-j symbols based on a set of orthogonal polynomials, called Racah polynomials, that generalise these coefficients. This relation is shown to be a consequence of the well known Biedenharn-Elliot identity.