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Topic: Elliptic integral of the seconnd kind with complex amplitude
Replies: 2   Last Post: Jul 2, 2006 2:33 PM

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carl barron

Posts: 134
Registered: 12/7/04
Re: Elliptic integral of the seconnd kind with complex amplitude
Posted: Jun 30, 2006 10:02 PM
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Gerald I. Evenden <gerald.evenden@verizon.net> wrote:

> Is anyone aware of a technique for the solution of the incomplete
> elliptic integral of the second kind with a complex amplitude:
>
> E(x+iy,m)
>
> m is small, in the range of 0.006.
>
> If there is a library reference, is should be usable under either
> a GNU or MIT license.
>
> Thanks in advance.


There is an article on elliptic integrals and elliptic functions.

Bulirsch Numerishe Mathematik vol 7 p78-90,vol 7 p353-354,vol 13,
p 305-315.

Either the first most likely since it contain algol 60 code provides an
algorithm to compute first and second elliptic integrals with complex
argument and real modulus. If its the first the second looks like
errata, and the third I don;t recall seeing.

its at guttenburg(sp??) online library.




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