Definition:ctsqLaguerre

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

This macro is in the category of polynomials.

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

\ctsqLaguerre{\alpha}{n} produces Failed to parse (Conversion error. Server ("cli") reported: "SyntaxError: Illegal TeX function Found \ctsqLaguerrein 1:31"): {\displaystyle {\displaystyle \ctsqLaguerre{\alpha}{n}}}
\ctsqLaguerre{\alpha}{n}@{x}{q} produces Failed to parse (Conversion error. Server ("cli") reported: "SyntaxError: Illegal TeX function Found \ctsqLaguerrein 1:31"): {\displaystyle {\displaystyle \ctsqLaguerre{\alpha}{n}@{x}{q}}}

These are defined by Failed to parse (Conversion error. Server ("cli") reported: "SyntaxError: Illegal TeX function Found \ctsqLaguerrein 2:1"): {\displaystyle {\displaystyle \ctsqLaguerre{\alpha}{n}@{x}{q}:=\frac{\qPochhammer{q^{\alpha+1}}{q}{n}}{\qPochhammer{q}{q}{n}}\,\qHyperrphis{3}{2}@@{q^{-n},q^{\frac{1}{2}\alpha+\frac{1}{4}}\expe^{i\theta},q^{\frac{1}{2}\alpha+\frac{1}{4}}\expe^{-i\theta}}{q^{\alpha+1},0}{q}{q}. }

Symbols List

 : continuous -Laguerre polynomial : http://drmf.wmflabs.org/wiki/Definition:ctsqLaguerre
 : -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
 : the base of the natural logarithm : http://dlmf.nist.gov/4.2.E11