Re: help with an integral which looks similar to elliptic integrals.
- From: "len" <i.e.linington@xxxxxxxxxxxx>
- Date: 3 Jul 2006 18:35:19 -0700
Thanks very much for this help it's really kind of you to take the
trouble.
I'll do some reading up on this stuff until I understand more of the
relevant maths and then I'll let you know how it goes.
Cheers,
Len
Gene Ward Smith wrote:
len wrote:
Any thoughts?
It would be great if you could dig up a Mathematica program which
converts an elliptic integral of the form int z^n/sqrt(P(z)) dz, where
P is a fourth-order polynomial, into
one of the standard forms. Otherwise, you could look at the painful
process of doing it by hand; Pierpont's "Functions of a Complex
Variable", Chapter IX, spends some time on it. If you can do that, your
integral ends up as a period of an elliptic function expressible in
terms of Jacobi ellpitic functions, which can be evaluated by the
hypergeometric function.
.
- References:
- Re: help with an integral which looks similar to elliptic integrals.
- From: len
- Re: help with an integral which looks similar to elliptic integrals.
- From: Gene Ward Smith
- Re: help with an integral which looks similar to elliptic integrals.
- From: len
- Re: help with an integral which looks similar to elliptic integrals.
- From: Gene Ward Smith
- Re: help with an integral which looks similar to elliptic integrals.
- Prev by Date: Re: JSH: SF: New factoring method
- Next by Date: Re: An uncountable countable set
- Previous by thread: Re: help with an integral which looks similar to elliptic integrals.
- Next by thread: Re: diverge...
- Index(es):
Relevant Pages
|
