Definition:CiglerqChebyT

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The LaTeX DLMF and DRMF macro \CiglerqChebyT represents the Cigler Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 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 (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \CiglerqChebyT{n}}}
\CiglerqChebyT{n}@{x}{s}{q} produces Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \CiglerqChebyT{n}@{x}{s}{q}}}

These are defined by Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \CiglerqChebyT{n}@{x}{s}{q}:=(-s)^{\frac12 n} \bigqJacobiIVparam{n}@{(-qs)^{-\frac12} x}{q^{-\frac12}}{q^{-\frac12}}{1}{1}{q}. }}


Symbols List

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle T_{n}}}  : Cigler Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle q}} -Chebyshev polynomial Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle T}}  : http://drmf.wmflabs.org/wiki/Definition:CiglerqChebyT
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle P_{n}}}  : big Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle q}} -Jacobi polynomial with four parameters : http://drmf.wmflabs.org/wiki/Definition:bigqJacobiIVparam