Definition:CiglerqChebyU

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The LaTeX DLMF and DRMF macro \CiglerqChebyU represents the Cigler ${\displaystyle{\displaystyle q}}$-Chebyshev polynomial of the second kind.

This macro is in the category of polynomials.

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

\CiglerqChebyU{n} produces ${\displaystyle{\displaystyle{\displaystyle U_{n}}}}$

\CiglerqChebyU{n}@{x}{s}{q} produces ${\displaystyle{\displaystyle{\displaystyle U_{n}\!\left(x,s,q\right)}}}$

These are defined by ${\displaystyle{\displaystyle{\displaystyle U_{n}\!\left(x,s,q\right):=(-q^{-2}s)^{\frac{1}{2}n}\frac{1-q^{n+1}}{1-q}.}}}$

Symbols List

${\displaystyle{\displaystyle{\displaystyle U_{n}}}}$ : Cigler ${\displaystyle{\displaystyle{\displaystyle q}}}$-Chebyshev polynomial ${\displaystyle{\displaystyle{\displaystyle U}}}$ : http://drmf.wmflabs.org/wiki/Definition:CiglerqChebyU

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