# Definition:ctsdualqHahn

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The LaTeX DLMF and DRMF macro \ctsdualqHahn represents the continuous dual $q$ -Hahn polynomial.

This macro is in the category of polynomials.

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

\ctsdualqHahn{n} produces $\displaystyle \ctsdualqHahn{n}$
\ctsdualqHahn{n}@{x}{a}{b}{c}{q} produces $\displaystyle \ctsdualqHahn{n}@{x}{a}{b}{c}{q}$

These are defined by $\displaystyle \frac{a^n\ctsdualqHahn{n}@{x}{a}{b}{c}{q}}{\qPochhammer{ab,ac}{q}{n}} :=\qHyperrphis{3}{2}@@{q^{-n},a\expe^{i\theta},a\expe^{-i\theta}}{ab,ac}{q}{q}. }$

## Symbols List

$p_{n}}$ : 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
${{}_{r}\phi _{s}}}$ : basic hypergeometric (or $q}$ -hypergeometric) function : http://dlmf.nist.gov/17.4#E1
$\mathrm {e} }$ : the base of the natural logarithm : http://dlmf.nist.gov/4.2.E11