# Definition:monicbigqLaguerre

The LaTeX DLMF and DRMF macro \monicbigqLaguerre represents the monic big ${\displaystyle q}$ Laguerre polynomial.

This macro is in the category of polynomials.

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

\monicbigqLaguerre{n} produces $\displaystyle {\displaystyle \monicbigqLaguerre{n}}$
\monicbigqLaguerre{n}@{x}{a}{b}{q} produces $\displaystyle {\displaystyle \monicbigqLaguerre{n}@{x}{a}{b}{q}}$
\monicbigqLaguerre{n}@@{x}{a}{b}{q} produces $\displaystyle {\displaystyle \monicbigqLaguerre{n}@@{x}{a}{b}{q}}$

These are defined by $\displaystyle {\displaystyle \bigqLaguerre{n}@{x}{a}{b}{q}=:\frac{1}{\qPochhammer{aq,bq}{q}{n}}\monicbigqLaguerre{n}@{x}{a}{b}{q}. }$

## Symbols List

${\displaystyle {\displaystyle {\widehat {P}}_{n}}}$ : monic big ${\displaystyle {\displaystyle q}}$-Laguerre polynomial : http://drmf.wmflabs.org/wiki/Definition:monicbigqLaguerre
${\displaystyle {\displaystyle P_{n}}}$ : big ${\displaystyle {\displaystyle q}}$-Laguerre polynomial : http://drmf.wmflabs.org/wiki/Definition:bigqLaguerre
${\displaystyle {\displaystyle (a;q)_{n}}}$ : ${\displaystyle {\displaystyle q}}$-Pochhammer symbol : http://dlmf.nist.gov/5.18#i http://dlmf.nist.gov/17.2#SS1.p1