Formula:KLS:09.08:60: Difference between revisions
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Latest revision as of 08:35, 22 December 2019
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle (1-x^2)^{-\frac{1}{2}}\ChebyT{n}@{x}=\frac{(-1)^n}{\pochhammer{\frac{1}{2}}{n}2^n} \left(\frac{d}{dx}\right)^n\left[(1-x^2)^{n-\frac{1}{2}}\right] }}
Proof
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Symbols List
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
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle (a)_n}}
: Pochhammer symbol : http://dlmf.nist.gov/5.2#iii
Bibliography
Equation in Section 9.8 of KLS.
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