Definition:monicdualqHahn

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The LaTeX DLMF and DRMF macro \monicdualqHahn represents the monic dual ${\displaystyle{\displaystyle q}}$ Hahn.

This macro is in the category of polynomials.

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

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

\monicdualqHahn{n}@{\mu(x)}{\gamma}{\delta}{N}{q} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{R}}_{n}\!\left(\mu(x);\gamma,\delta,N\right){q}}}}$

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

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

Symbols List

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

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