Definition:monicctsqHahn

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The LaTeX DLMF and DRMF macro \monicctsqHahn represents the monic continuous ${\displaystyle{\displaystyle q}}$ Hahn polynomial.

This macro is in the category of polynomials.

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

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

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

\monicctsqHahn{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 continuous ${\displaystyle{\displaystyle{\displaystyle q}}}$-Hahn polynomial : http://drmf.wmflabs.org/wiki/Definition:monicctsqHahn
${\displaystyle{\displaystyle{\displaystyle p_{n}}}}$ : continuous ${\displaystyle{\displaystyle{\displaystyle q}}}$-Hahn polynomial : http://drmf.wmflabs.org/wiki/Definition:ctsqHahn
${\displaystyle{\displaystyle{\displaystyle(a;q)_{n}}}}$ : ${\displaystyle{\displaystyle{\displaystyle q}}}$-Pochhammer symbol : http://dlmf.nist.gov/5.18#i http://dlmf.nist.gov/17.2#SS1.p1

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