# Definition:monicctsqUltra

The LaTeX DLMF and DRMF macro \monicctsqUltra represents the monic continuous $q$ ultraspherical Rogers polynomial.

This macro is in the category of polynomials.

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

\monicctsqUltra{n} produces $\displaystyle \monicctsqUltra{n}$
\monicctsqUltra{n}@{x}{\beta}{q} produces $\displaystyle \monicctsqUltra{n}@{x}{\beta}{q}$
\monicctsqUltra{n}@@{x}{\beta}{q} produces $\displaystyle \monicctsqUltra{n}@@{x}{\beta}{q}$

These are defined by $\displaystyle \ctsqUltra{n}@{x}{\beta}{q}=:\frac{2^n\qPochhammer{\beta}{q}{n}}{\qPochhammer{q}{q}{n}}\monicctsqUltra{n}@@{x}{\beta}{q}.$

## Symbols List

${\widehat {C}}_{n}}$ : monic continuous $q}$ -ultraspherical/Rogers polynomial : http://drmf.wmflabs.org/wiki/Definition:monicctsqUltra
$C_{n}}$ : continuous $q}$ -ultraspherical/Rogers polynomial : http://dlmf.nist.gov/18.28#E13
$(a;q)_{n}}$ : $q}$ -Pochhammer symbol : http://dlmf.nist.gov/5.18#i http://dlmf.nist.gov/17.2#SS1.p1