Vladimir Bondarenko schrieb:
>
> > -3*DILOG(4/3)-6*DILOG(3/2)-3*LN(3)^2/2+3*LN(2)^2
>
> I believe dilog is not elementary :)
>
> Could you simplify this further to, say, logarithms?
>
Here's a suggestion for another challenge (you may take it as a
counterchallenge by striped invaders as well):
Can this expression (involving the Legendre elliptic integrals
F(phi,k), E(phi,k), K(k), E(k)) be simplified to a significant degree?
(E(arctan(t), k) + E(arccot(sqrt(1-k^2)*t), k)) * K(k) -
(F(arctan(t), k) + F(arccot(sqrt(1-k^2)*t), k)) * E(k)
Hope this doesn't turn out too easy.
Martin.
|
