Formula:KLS:09.08:59
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \frac{d}{dx}\left[\left(1-x^2\right)^{\frac{1}{2}}\ChebyU{n}@{x}\right] =-(n+1)\left(1-x^2\right)^{-\frac{1}{2}}\ChebyT{n+1}@{x} }}
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}}}
: Chebyshev polynomial of the second kind : http://dlmf.nist.gov/18.3#T1.t1.r11
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle T_{n}}}
: Chebyshev polynomial of the first kind : http://dlmf.nist.gov/18.3#T1.t1.r8
Bibliography
Equation in Section 9.8 of KLS.
URL links
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