An Explicit Polynomial Expression for a q-Analogue of the 9- j Symbols

Abstract

Abstract Using standard transformation and summation formulas for basic hypergeometric series we obtain an explicit polynomial form of the q-analogue of the 9- j symbols, introduced by the author in a recent publication. We also consider a limiting case in which the 9- j symbol factors into two Hahn polynomials. The same factorization occurs in another limit case of the corresponding q-analogue.