Definition:monicqRacah

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

This macro is in the category of polynomials.

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

\monicqRacah{n} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{R}}_{n}}}}$

\monicqRacah{n}@{\mu(x)}{\alpha}{\beta}{\gamma}{\delta}{q} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{R}}_{n}\!\left(\mu(x);\alpha,\beta,\gamma,\delta\,|\,q\right)}}}$

\monicqRacah{n}@@{\mu(x)}{\alpha}{\beta}{\gamma}{\delta}{q} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{R}}_{n}\!\left(\mu(x)\right)}}}$

These are defined by ${\displaystyle{\displaystyle{\displaystyle R_{n}\!\left(\mu(x);\alpha,\beta,\gamma,\delta\,|\,q\right)=:\frac{\left(\alpha\beta q^{n+1};q\right)_{n}}{\left(\alpha q,\beta\delta q,\gamma q;q\right)_{n}}{\widehat{R}}_{n}\!\left(\mu(x)\right).}}}$

Symbols List

${\displaystyle{\displaystyle{\displaystyle{\widehat{R}}_{n}}}}$ : monic ${\displaystyle{\displaystyle{\displaystyle q}}}$-Racah polynomial : http://drmf.wmflabs.org/wiki/Definition:monicqRacah
${\displaystyle{\displaystyle{\displaystyle R_{n}}}}$ : ${\displaystyle{\displaystyle{\displaystyle q}}}$-Racah polynomial : http://dlmf.nist.gov/18.28#E19
${\displaystyle{\displaystyle{\displaystyle(a;q)_{n}}}}$ : ${\displaystyle{\displaystyle{\displaystyle q}}}$-Pochhammer symbol : http://dlmf.nist.gov/5.18#i http://dlmf.nist.gov/17.2#SS1.p1

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