Definition:qRacah

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The LaTeX DLMF and DRMF macro \qRacah represents the ${\displaystyle{\displaystyle q}}$-Racah polynomial.

This macro is in the category of polynomials.

In math mode, this macro can be called in the following ways:

\qRacah{n} produces ${\displaystyle{\displaystyle{\displaystyle R_{n}}}}$

\qRacah{n}@{x}{\alpha}{\beta}{\gamma}{\delta}{q} produces ${\displaystyle{\displaystyle{\displaystyle R_{n}\!\left(x;\alpha,\beta,\gamma,\delta\,|\,q\right)}}}$

These are defined by ${\displaystyle{\displaystyle{\displaystyle R_{n}\!\left(\mu(x);\alpha,\beta,\gamma,\delta\,|\,q\right){}:=\qHyperrphis{4}{3}@@{q^{-n},\alpha\beta q^{n+1},q^{-x},\gamma\delta q^{x+1}}{\alpha q,\beta\delta q,\gamm}}}\)\@add@PDF@RDFa@triples\end{document}}$

Symbols List

${\displaystyle{\displaystyle{\displaystyle R_{n}}}}$ : ${\displaystyle{\displaystyle{\displaystyle q}}}$-Racah polynomial : http://dlmf.nist.gov/18.28#E19
${\displaystyle{\displaystyle{\displaystyle{{}_{r}\phi_{s}}}}}$ : basic hypergeometric (or ${\displaystyle{\displaystyle{\displaystyle q}}}$-hypergeometric) function : http://dlmf.nist.gov/17.4#E1

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