게겐바워 다항식(ultraspherical polynomials)

테이블

$$ \begin{array}{c|c} n & C_n{}^{(\lambda )}(x) \\ \hline 0 & 1 \\ 1 & 2 \lambda x \\ 2 & \lambda \left(2 (\lambda +1) x^2-1\right) \\ 3 & \frac{2}{3} \lambda (\lambda +1) x \left(2 (\lambda +2) x^2-3\right) \\ 4 & \frac{1}{6} \lambda (\lambda +1) \left(4 (\lambda +2) (\lambda +3) x^4-12 (\lambda +2) x^2+3\right) \\ 5 & \frac{1}{15} \lambda (\lambda +1) (\lambda +2) x \left(4 (\lambda +3) (\lambda +4) x^4-20 (\lambda +3) x^2+15\right) \\ \end{array} $$