I was wondering what the definition for
F(phi,k), E(phi,k), K(k), E(k))
do you use?
Maple's one? Mathematica's one? Anything else?
On May 12, 12:10=A0am, cliclic...@[EMAIL PROTECTED]
wrote:
> Vladimir Bondarenko schrieb:
>
>
>
> > > =A0-3*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?
>
> =A0 (E(arctan(t), k) + E(arccot(sqrt(1-k^2)*t), k)) * K(k) -
> =A0 (F(arctan(t), k) + F(arccot(sqrt(1-k^2)*t), k)) * E(k)
>
> Hope this doesn't turn out too easy.
>
> Martin.
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