Formula:KLS:09.09:11

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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[(1+x^2)^{-N-1}\expe^{2\nu\atan@@{x}}\pseudoJacobi{n}@{x}{\nu}{N}\right] {}=(n-2N-2)(1+x^2)^{-N-2}\expe^{2\nu\atan@@{x}}\pseudoJacobi{n+1}@{x}{\nu}{N+1} }}

Proof

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Symbols List

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \mathrm{e}}}  : the base of the natural logarithm : http://dlmf.nist.gov/4.2.E11
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

Bibliography

Equation in Section 9.9 of KLS.

URL links

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