Definition:qCharlier

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

This macro is in the category of polynomials.

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

\qCharlier{n} produces ${\displaystyle{\displaystyle{\displaystyle C_{n}}}}$

\qCharlier{n}@{x}{c}{q} produces ${\displaystyle{\displaystyle{\displaystyle C_{n}\!\left(x;c;q\right)}}}$

These are defined by ${\displaystyle{\displaystyle{\displaystyle C_{n}\!\left(q^{-x};a;q\right):=\qHyperrphis{2}{1}@@{q^{-n},q^{-x}}{0}{q}{-\frac{q^{n+1}}{a}}}}}$

Symbols List

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

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