Definition:qMeixner

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

This macro is in the category of polynomials.

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

\qMeixner{n} produces ${\displaystyle{\displaystyle{\displaystyle M_{n}}}}$

\qMeixner{n}@{x}{b}{c}{q} produces ${\displaystyle{\displaystyle{\displaystyle M_{n}\!\left(x;b,c;q\right)}}}$

These are defined by ${\displaystyle{\displaystyle M_{n}\!\left(q^{-x};b,c;q\right):=\qHyperrphis{2}{1}@@{q^{-n},q^{-x}}{bq}{q}{-\frac{q^{n+1}}{c}}.}}$

Symbols List

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

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