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

Published online by Cambridge University Press:  20 November 2018

Mizan Rahman
Mizan Rahman*
Affiliation:
School of Mathematics and Statistics, Carleton University, Ottawa, ON email: mrahman@math.carleton.ca
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Abstract

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

Keywords

33D4533D506-j and 9-j symbolsq-analoguesbalanced and very-well-poised basic hypergeometric seriesorthonormal polynomials in one and two variablesRacah and q-Racah polynomials and their extensions
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 63 , Issue 1 , 01 February 2011 , pp. 200 - 221
Copyright
Copyright © Canadian Mathematical Society 2011

References

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