You got me curious. So I searched thru the hyperdoc and found:
ellipticE(x,y)
The doc says:
elliptibE(z,m) = integrate(sqrt(1-m*t^2)/sqrt(1-t^2),t=0..z)
so that looks right.
-JimC
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James Cloos
OpenPGP: https://jhcloos.com/0x997A9F17ED7DAEA6.asc
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I am not an authorative answer, but it seems the Maple definition for the
two argument version works. I just tried it on few values and now Fricas
returns same answer as Mathematica and also as Maxima called from sagemath
---sagemath---
var('x')
a=3
Given an authorative answer, it should not be hard to add that translation
to the sagemath-fricas interface. Just let me know.
Martin
On Wednesday 10 April 2024 at 09:16:15 UTC+2 Nasser M. Abbasi wrote:
>
> " Maple page says:
>
> Ei(a, z) = z^(a-1)*GAMMA(1-a, z)
>
> In FriCAS that would be
>
>
" Maple page says:
Ei(a, z) = z^(a-1)*GAMMA(1-a, z)
In FriCAS that would be
Ei(a, z) == z^(a-1)*Gamma(1 - a, z)
I am not sure if Maple is right, example above leads to Gamma(0, x)
which is undefined."
But the help page
https://www.maplesoft.com/support/help/maple/view.aspx?path=Ei says
On Tue, Apr 09, 2024 at 08:24:35PM -0700, 'Nasser M. Abbasi' via FriCAS -
computer algebra system wrote:
> I found problem integrating many problems using sagemath calling Fricas to
> do the integration when using exponential integral function. These are
> problems from Rubi test files.
>
> It
I found problem integrating many problems using sagemath calling Fricas to
do the integration when using exponential integral function. These are
problems from Rubi test files.
It works OK with other CAS systems supported by sagemath (Maxima and GIAC)
but sagemath 10.3 does not seem to