Formula:KLS:09.08:46

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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \ChebyU{n}@{x}=(n+1)\frac{\Jacobi{\frac{1}{2}}{\frac{1}{2}}{n}@{x}}{\Jacobi{\frac{1}{2}}{\frac{1}{2}}{n}@{1}} =(n+1)\,\HyperpFq{2}{1}@@{-n,n+2}{\frac{3}{2}}{\frac{1-x}{2}} }}

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 P^{(\alpha,\beta)}_{n}}}  : Jacobi polynomial : http://dlmf.nist.gov/18.3#T1.t1.r3
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle {{}_{p}F_{q}}}}  : generalized hypergeometric function : http://dlmf.nist.gov/16.2#E1

Bibliography

Equation in Section 9.8 of KLS.

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