# Definition:normctsdualqHahnptilde

The LaTeX DLMF and DRMF macro \normctsdualqHahnptilde represents the normalized continuous dual ${\displaystyle q}$-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 $\displaystyle {\displaystyle \normctsdualqHahnptilde{n}}$
\normctsdualqHahnptilde{n}@{x}{a}{b}{c}{q} produces $\displaystyle {\displaystyle \normctsdualqHahnptilde{n}@{x}{a}{b}{c}{q}}$
\normctsdualqHahnptilde{n}@@{x}{a}{b}{c}{q} produces $\displaystyle {\displaystyle \normctsdualqHahnptilde{n}@@{x}{a}{b}{c}{q}}$

These are defined by $\displaystyle {\displaystyle {\tilde p}_n(x):=\normctsdualqHahnptilde{n}@{x}{a}{b}{c}{q}=\frac{a^n\ctsdualqHahn{n}@{x}{a}{b}{c}{q}}{\qPochhammer{ab,ac}{q}{n}} }$

## Symbols List

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