Definition:Wilson

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

This macro is in the category of polynomials.

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

\Wilson{n} produces ${\displaystyle{\displaystyle{\displaystyle W_{n}}}}$

\Wilson{n}@{x}{a}{b}{c}{d} produces ${\displaystyle{\displaystyle{\displaystyle W_{n}\!\left(x;a,b,c,d\right)}}}$

These are defined by ${\displaystyle{\displaystyle{\displaystyle\frac{W_{n}\!\left(x^{2};a,b,c,d\right)}{{\left(a+b\right)_{n}}{\left(a+c\right)_{n}}{\left(a+d\right)_{n}}}{}:=\HyperpFq{4}{3}@@{-n,n+a+b+c+d-1,a+ix,a-ix}{a+b,a+c,a+d}{1}}}}$

Symbols List

${\displaystyle{\displaystyle{\displaystyle W_{n}}}}$ : 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
${\displaystyle{\displaystyle{\displaystyle{{}_{p}F_{q}}}}}$ : generalized hypergeometric function : http://dlmf.nist.gov/16.2#E1

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