Formula:KLS:09.08:06

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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \Jacobi{\alpha}{\beta}{n}@{x}=\frac{\pochhammer{n+\alpha+\beta+1}{n}}{2^nn!}\monicJacobi{\alpha}{\beta}{n}@@{x}{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 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 (a)_n}}  : Pochhammer symbol : http://dlmf.nist.gov/5.2#iii
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle {\widehat P}^{(\alpha,\beta)}_{n}}}  : monic Jacobi polynomial : http://drmf.wmflabs.org/wiki/Definition:monicJacobi

Bibliography

Equation in Section 9.8 of KLS.

URL links

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