Definition:normctsdualqHahnptilde

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

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

Symbols List

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