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MathGroup Archive 2004

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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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