Definition:monicLegendrePoly

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The LaTeX DLMF and DRMF macro \monicLegendrePoly represents the monic Legendre spherical polynomial.

This macro is in the category of polynomials.

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

\monicLegendrePoly{n} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{P}}_{n}}}}$

\monicLegendrePoly{n}@{x} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{P}}_{n}\left(x\right)}}}$

\monicLegendrePoly{n}@@{x} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{P}}_{n}\left(x\right)}}}$

These are defined by ${\displaystyle{\displaystyle{\displaystyle\LegendrePoly{n}@{x}=:\binomial{2n}{n}\frac{1}{2^{n}}{\widehat{P}}_{n}\left(x\right).}}}$

Symbols List

${\displaystyle{\displaystyle{\displaystyle{\widehat{P}}_{n}}}}$ : monic Legendre polynomial : http://drmf.wmflabs.org/wiki/Definition:monicLegendrePoly
${\displaystyle{\displaystyle{\displaystyle P_{n}}}}$ : Legendre polynomial : http://dlmf.nist.gov/18.3#T1.t1.r25
${\displaystyle{\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{n}{k}}}}$ : binomial coefficient : http://dlmf.nist.gov/1.2#E1 http://dlmf.nist.gov/26.3#SS1.p1

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