Definition:CiglerqChebyT

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Definition:CiglerqChebyU >>

The LaTeX DLMF and DRMF macro \CiglerqChebyT represents the Cigler $q$-Chebyshev polynomial of the first kind.

This macro is in the category of polynomials.

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

\CiglerqChebyT{n} produces Failed to parse (Conversion error. Server ("cli") reported: "SyntaxError: Illegal TeX function Found \CiglerqChebyTin 1:31"): {\displaystyle {\displaystyle \CiglerqChebyT{n}}}

\CiglerqChebyT{n}@{x}{s}{q} produces Failed to parse (Conversion error. Server ("cli") reported: "SyntaxError: Illegal TeX function Found \CiglerqChebyTin 1:31"): {\displaystyle {\displaystyle \CiglerqChebyT{n}@{x}{s}{q}}}

These are defined by Failed to parse (Conversion error. Server ("cli") reported: "SyntaxError: Illegal TeX function Found \CiglerqChebyTin 3:1"): {\displaystyle {\displaystyle \CiglerqChebyT{n}@{x}{s}{q}:=(-s)^{\frac12 n} \bigqJacobiIVparam{n}@{(-qs)^{-\frac12} x}{q^{-\frac12}}{q^{-\frac12}}{1}{1}{q}. }}

Symbols List

${\displaystyle T_{n}}$ : Cigler ${\displaystyle q}$-Chebyshev polynomial ${\displaystyle T}$ : http://drmf.wmflabs.org/wiki/Definition:CiglerqChebyT
${\displaystyle P_{n}}$ : big ${\displaystyle q}$-Jacobi polynomial with four parameters : http://drmf.wmflabs.org/wiki/Definition:bigqJacobiIVparam

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