View source for Orthogonality of Gegenbauer C on (-1,1)

==Theorem==
The following formula holds:
$$\displaystyle\int_{-1}^1 (1-x^2)^{\lambda-\frac{1}{2}} C_n^{\lambda}(x)C_m^{\lambda}(x) \mathrm{d}x = \left\{ \begin{array}{ll}
0, & \quad m \neq n \\
\dfrac{2^{1-2\lambda} \pi\Gamma(n+2\lambda)}{(n+\lambda)(\Gamma(\lambda))^2\Gamma(n+1)}, & \quad m=n,
\end{array} \right.$$
where $C_n^{\lambda}$ denotes [[Gegenbauer C]], $\pi$ denotes [[pi]], and $\Gamma$ denotes [[gamma]].

==Proof==

==References==

[[Category:Theorem]]
[[Category:Unproven]]