Formula:KLS:14.05:54

<< Formula:KLS:14.05:53

formula in Big q-Jacobi

Formula:KLS:14.05:55 >>

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \CiglerqChebyU{n}@{x}{q}{b}=(q^{-3} b)^{\frac12 n} \frac{1-q^{n+1}}{1-q} \bigqJacobiIVparam{n}@{b^{-\frac12}x}{q^\frac12}{q^\frac12}{1}{1}{q} }}

Proof

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Symbols List

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle U_{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 U}}  : http://drmf.wmflabs.org/wiki/Definition:CiglerqChebyU
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

Bibliography

Equation in Section 14.5 of KLS.

URL links

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<< Formula:KLS:14.05:53

formula in Big q-Jacobi

Formula:KLS:14.05:55 >>