Definition:qLaguerre

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The LaTeX DLMF and DRMF macro \qLaguerre represents the -Laguerre polynomial.

This macro is in the category of polynomials.

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

\qLaguerre{n} produces Failed to parse (unknown function "\qLaguerre"): {\displaystyle {\displaystyle \qLaguerre{n}}}
\qLaguerre[\alpha]{n} produces Failed to parse (unknown function "\qLaguerre"): {\displaystyle {\displaystyle \qLaguerre[\alpha]{n}}}
\qLaguerre{n}@{x}{q} produces Failed to parse (unknown function "\qLaguerre"): {\displaystyle {\displaystyle \qLaguerre{n}@{x}{q}}}
\qLaguerre[\alpha]{n}@{x}{q} produces Failed to parse (unknown function "\qLaguerre"): {\displaystyle {\displaystyle \qLaguerre[\alpha]{n}@{x}{q}}}
\qLaguerre{n}@@{x}{q} produces Failed to parse (unknown function "\qLaguerre"): {\displaystyle {\displaystyle \qLaguerre{n}@@{x}{q}}}
\qLaguerre[\alpha]{n}@@{x}{q} produces Failed to parse (unknown function "\qLaguerre"): {\displaystyle {\displaystyle \qLaguerre[\alpha]{n}@@{x}{q}}}

These are defined by Failed to parse (unknown function "\qLaguerre"): {\displaystyle {\displaystyle \qLaguerre[\alpha]{n}@{x}{q}:=\frac{\qPochhammer{q^{\alpha+1}}{q}{n}}{\qPochhammer{q}{q}{n}}\, \qHyperrphis{1}{1}@@{q^{-n}}{q^{\alpha+1}}{q}{-q^{n+\alpha+1}x} }}

Symbols List

 : -Laguerre polynomial : http://drmf.wmflabs.org/wiki/Definition:qLaguerre
 : -Pochhammer symbol : http://dlmf.nist.gov/5.18#i http://dlmf.nist.gov/17.2#SS1.p1
 : basic hypergeometric (or -hypergeometric) function : http://dlmf.nist.gov/17.4#E1