Definition:monicLaguerre

<< Definition:monicKrawtchouk

Main Page

Definition:monicLegendrePoly >>

The LaTeX DLMF and DRMF macro \monicLaguerre represents the monic generalized Laguerre polynomial.

This macro is in the category of polynomials.

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

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

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

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

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

Symbols List

${\displaystyle{\displaystyle{\displaystyle{\widehat{L}}^{\alpha}_{n}}}}$ : monic Laguerre polynomial : http://drmf.wmflabs.org/wiki/Definition:monicLaguerre
${\displaystyle{\displaystyle{\displaystyle L_{n}^{(\alpha)}}}}$ : Laguerre (or generalized Laguerre) polynomial : http://dlmf.nist.gov/18.3#T1.t1.r27

<< Definition:monicKrawtchouk

Main Page

Definition:monicLegendrePoly >>