Definition:dualqHahn

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The LaTeX DLMF and DRMF macro \dualqHahn represents the dual ${\displaystyle{\displaystyle q}}$-Hahn polynomial.

This macro is in the category of polynomials.

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

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

\dualqHahn{n}@{\mu(x)}{\gamma}{\delta}{N}{q} produces ${\displaystyle{\displaystyle{\displaystyle R_{n}\!\left(\mu(x);\gamma,\delta,N\right){q}}}}$

\dualqHahn{n}@@{\mu(x)}{\gamma}{\delta}{N}{q} produces ${\displaystyle{\displaystyle{\displaystyle R_{n}\!\left(\mu(x)\right){q}}}}$

These are defined by ${\displaystyle{\displaystyle R_{n}\!\left(\mu(x);\gamma,\delta,N\right){q}:=\qHyperrphis 32@@{q^{-n},q^{-x},\gamma\delta q^{x+1}}{\gamma q,q^{-N}}qq,}}$

Symbols List

${\displaystyle{\displaystyle{\displaystyle R_{n}}}}$ : dual ${\displaystyle{\displaystyle{\displaystyle q}}}$-Hahn polynomial : http://drmf.wmflabs.org/wiki/Definition:dualqHahn
${\displaystyle{\displaystyle{\displaystyle{{}_{r}\phi_{s}}}}}$ : basic hypergeometric (or ${\displaystyle{\displaystyle{\displaystyle q}}}$-hypergeometric) function : http://dlmf.nist.gov/17.4#E1

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