Formula:KLS:09.09:04

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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle x\pseudoJacobi{n}@{x}{\nu}{N}=\pseudoJacobi{n+1}@{x}{\nu}{N}+\frac{(N+1)\nu}{(n-N-1)(n-N)}\pseudoJacobi{n}@{x}{\nu}{N} {}-\frac{n(n-2N-2)}{(2n-2N-3)(n-N-1)^2(2n-2N-1)} {}(n-N-1-\iunit\nu)(n-N-1+\iunit\nu)\pseudoJacobi{n-1}@{x}{\nu}{N} }}

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_{n}}}  : pseudo Jacobi polynomomal : http://drmf.wmflabs.org/wiki/Definition:pseudoJacobi
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \mathrm{i}}}  : imaginary unit : http://dlmf.nist.gov/1.9.i

Bibliography

Equation in Section 9.9 of KLS.

URL links

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