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

作者：Rahman Mizan^*

来源：Canadian Journal of Mathematics, 2011, 63(1): 200-221.

DOI：10.4153/CJM-2010-081-9

• 6-j and 9-j symbols
• q-analogues
• balanced and very-well-poised basic hypergeometric series
• orthonormal polynomials in one and two variables
• Racah and q-Racah polynomials and their extensions

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.

• 出版日期2011-2