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Re: Elliptic Integral problem with 5.0
*To*: mathgroup at smc.vnet.net
*Subject*: [mg46720] Re: Elliptic Integral problem with 5.0
*From*: "T.Telliskivi" <maria.08.6689847 at telia.com>
*Date*: Tue, 2 Mar 2004 19:10:22 -0500 (EST)
*References*: <c1onol$3cc$1@smc.vnet.net>
*Reply-to*: "T.Telliskivi" <maria.08.6689847 at telia.com>
*Sender*: owner-wri-mathgroup at wolfram.com
V4.1 gives a fast result:
((8*r*x*EllipticK[-((4*r*x)/(r^2 - 2*r*x + x^2 + z^2))])/
Sqrt[r^2 - 2*r*x + x^2 + z^2] -
(1/(2*r*x))*((-r^2 - x^2 - z^2)*
(4*Sqrt[r^2 - 2*r*x + x^2 + z^2]*
EllipticE[-((4*r*x)/(r^2 - 2*r*x + x^2 + z^2))] -
(4*(r^2 + x^2 + z^2)*EllipticK[
-((4*r*x)/(r^2 - 2*r*x + x^2 + z^2))])/
Sqrt[r^2 - 2*r*x + x^2 + z^2])))/
(r^4 - 2*r^2*x^2 + x^4 + 2*r^2*z^2 + 2*x^2*z^2 + z^4)
/Tanel Telliskivi
"Andreas Stahel" <sha at hta-bi.bfh.ch> skrev i meddelandet
news:c1onol$3cc$1 at smc.vnet.net...
> Dear Mathematica users
>
> we just upgraded from version 4.2 to 5.0 (5.0.1)
> and it seems that an some integrals are not solvabla any more
> Here the input on the system
> $Version
> "5.0 for Sun Solaris (UltraSPARC) (November 26, 2003)"
>
> Integrate[Cos[phi]/(x^2 - 2*x*r*Cos[phi] + r^2 + z^2)^(3/2),{phi, 0,
2*Pi}]
>
>
> and the kernel just happily uses up CPU cycles with no result. I have
> not found any hint on similar problems on the wri site and google
> did not turn up information either.
>
> Would anybody have a hint on what is going on.
>
>
> With best regards
>
> Andreas
>
===========================================================================
> Andreas Stahel E-Mail: Andreas.Stahel at [ANTI-SPAM]hti.bfh.ch
> Mathematics, HTI Phone: ++41 +32 32 16 258
> Quellgasse 21 Fax: ++41 +32 321 500
> CH-2501 Biel WWW: www.hta-bi.bfh.ch/~sha
> Switzerland
>
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