View source for Orthogonality of Chebyshev U on (-1,1)

==Theorem==
The following formula holds for $m, n \in \{0,1,2,\ldots\}$:
$$\int_{-1}^1 \dfrac{U_m(x)U_n(x)}{\sqrt{1-x^2}} dx = \left\{ \begin{array}{ll}
0 &; m \neq n \\
\dfrac{\pi}{2} &; m=n\neq 0\\
0 &; m=n=0.
\end{array} \right.,$$
where $U_n$ denotes [[Chebyshev U|Chebyshev polynomials of the second kind]].

==Proof==

==References==

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