Definition:monicqLaguerre

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

This macro is in the category of polynomials.

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

\monicqLaguerre{n} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{L}}_{n}}}}$

\monicqLaguerre{n}@{x}{q} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{L}}_{n}\!\left(x;q\right)}}}$

\monicqLaguerre{n}@@{x}{q} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{L}}_{n}\!\left(x\right)}}}$

These are defined by ${\displaystyle{\displaystyle{\displaystyle L^{(\alpha)}_{n}\!\left(x;q\right)=:\frac{(-1)^{n}q^{n(n+\alpha)}}{\left(q;q\right)_{n}}{\widehat{L}}^{(\alpha)}_{n}\!\left(x\right).}}}$

Symbols List

${\displaystyle{\displaystyle{\displaystyle{\widehat{L}}^{(\alpha)}_{n}}}}$ : monic ${\displaystyle{\displaystyle{\displaystyle q}}}$-Laguerre polynomial : http://drmf.wmflabs.org/wiki/Definition:monicqLaguerre
${\displaystyle{\displaystyle{\displaystyle L_{n}^{(\alpha)}}}}$ : ${\displaystyle{\displaystyle{\displaystyle q}}}$-Laguerre polynomial : http://drmf.wmflabs.org/wiki/Definition:qLaguerre
${\displaystyle{\displaystyle{\displaystyle(a;q)_{n}}}}$ : ${\displaystyle{\displaystyle{\displaystyle q}}}$-Pochhammer symbol : http://dlmf.nist.gov/5.18#i http://dlmf.nist.gov/17.2#SS1.p1

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