Formula:KLS:09.09:12

<< Formula:KLS:09.09:11

formula in Pseudo Jacobi

Formula:KLS:09.09:13 >>

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \pseudoJacobi{n}@{x}{\nu}{N}=\frac{(1+x^2)^{N+1}\expe^{-2\nu\atan@@{x}}}{\pochhammer{n-2N-1}{n}} \left(\frac{d}{dx}\right)^n\left[(1+x^2)^{n-N-1}\expe^{2\nu\atan@@{x}}\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 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{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 (a)_n}}  : Pochhammer symbol : http://dlmf.nist.gov/5.2#iii

Bibliography

Equation in Section 9.9 of KLS.

URL links

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<< Formula:KLS:09.09:11

formula in Pseudo Jacobi

Formula:KLS:09.09:13 >>