Definition:monicWilson

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The LaTeX DLMF and DRMF macro \monicWilson represents the monic Wilson polynomial.

This macro is in the category of polynomials.

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

\monicWilson{n} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{W}}_{n}}}}$

\monicWilson{n}@{x^2}{a}{b}{c}{d} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{W}}_{n}\!\left(x^{2};a,b,c,d\right)}}}$

\monicWilson{n}@@{x^2}{a}{b}{c}{d} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{W}}_{n}\!\left(x^{2}\right)}}}$

These are defined by

$$W_{n}\!\left(x^{2};a,b,c,d\right)=:(-1)^{n}{\left(n+a+b+c+d-1\right)_{n}}{\widehat{W}}_{n}\!\left(x^{2}\right).$$

Symbols List

${\displaystyle{\displaystyle{\displaystyle{\widehat{W}}_{n}}}}$ : monic Wilson polynomial : http://drmf.wmflabs.org/wiki/Definition:monicWilson
${\displaystyle{\displaystyle{\displaystyle W_{n}}}}$ : Wilson polynomial : http://dlmf.nist.gov/18.25#T1.t1.r2
${\displaystyle{\displaystyle{\displaystyle(a)_{n}}}}$ : Pochhammer symbol : http://dlmf.nist.gov/5.2#iii

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