Formula:KLS:09.08:29
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle x^2 \Ultra{\lambda}{n}@{x}= \frac{(n+1)(n+2)}{4(n+\lambda)(n+\lambda+1)} \Ultra{\lambda}{n+2}@{x}+ \frac{n^2+2n\lambda+\lambda-1}{2(n+\lambda-1)(n+\lambda+1)} \Ultra{\lambda}{n}@{x} +\frac{(n+2\lambda-1)(n+2\lambda-2)}{4(n+\lambda)(n+\lambda-1)} \Ultra{\lambda}{n-2}@{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 C^{\mu}_{n}}}
: ultraspherical/Gegenbauer polynomial : http://dlmf.nist.gov/18.3#T1.t1.r5
Bibliography
Equation in Section 9.8 of KLS.
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