Definition:normctsdualqHahnptilde

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Definition:normctsqHahnptilde >>

The LaTeX DLMF and DRMF macro \normctsdualqHahnptilde represents the normalized continuous dual ${\displaystyle{\displaystyle q}}$-Hahn tilde polynomial.

This macro is in the category of polynomials.

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

\normctsdualqHahnptilde{n} produces ${\displaystyle{\displaystyle{\displaystyle{\tilde{p}}_{n}}}}$

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

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

These are defined by ${\displaystyle{\displaystyle{\displaystyle{\tilde{p}}_{n}(x):={\tilde{p}}_{n}\!\left(x;a,b,c|q\right)=\frac{a^{n}p_{n}\!\left(x;a,b,c|q\right)}{\left(ab,ac;q\right)_{n}}}}}$

Symbols List

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

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