Formula:KLS:09.08:11
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle (1-x^2)^{\lambda-\frac{1}{2}}\Ultra{\lambda}{n}@{x}= \frac{\pochhammer{2\lambda}{n}(-1)^n}{\pochhammer{\lambda+\frac{1}{2}}{n}2^nn!}\left(\frac{d}{dx}\right)^n \left[(1-x^2)^{\lambda+n-\frac{1}{2}}\right] }}
Proof
We ask users to provide proof(s), reference(s) to proof(s), or further clarification on the proof(s) in this space.
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
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 9.8 of KLS.
URL links
We ask users to provide relevant URL links in this space.