Definition:monicAskeyWilson

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

This macro is in the category of polynomials.

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

\monicAskeyWilson{n} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{p}}_{n}}}}$

\monicAskeyWilson{n}@{x}{a}{b}{c}{d}{q} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{p}}_{n}\!\left(x;a,b,c,d\,|\,q\right)}}}$

\monicAskeyWilson{n}@@{x}{a}{b}{c}{d}{q} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{p}}_{n}\!\left(x\right)}}}$

These are defined by ${\displaystyle{\displaystyle{\displaystyle p_{n}\!\left(x;a,b,c,d\,|\,q\right)=:2^{n}\left(abcdq^{n-1};q\right)_{n}{\widehat{p}}_{n}\!\left(x;a,b,c,d\,|\,q\right).}}}$

Symbols List

${\displaystyle{\displaystyle{\displaystyle{\widehat{p}}_{n}}}}$ : monic Askey-Wilson polynomial : http://drmf.wmflabs.org/wiki/Definition:monicAskeyWilson
${\displaystyle{\displaystyle{\displaystyle p_{n}}}}$ : Askey-Wilson polynomial : http://dlmf.nist.gov/18.28#E1
${\displaystyle{\displaystyle{\displaystyle(a;q)_{n}}}}$ : ${\displaystyle{\displaystyle{\displaystyle q}}}$-Pochhammer symbol : http://dlmf.nist.gov/5.18#i http://dlmf.nist.gov/17.2#SS1.p1

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