On Wednesday, 21 March 2012 22:42:16 UTC+10, kcrisman wrote:
>
>
>> fracintegral(x,1/2)
>>>
>>  
>>>
>> 4/15*x^(5/2)/sqrt(pi)
>>>>
>>>>
>>
> Though you should get a deprecation error.
>

Yeah, I do. I don't know the correct way to collect a variable argument 
from inside a function call, and apply that to a named argument call. :(
(t-x)^n*func(x=t) works fine, but don't know how to change "x=" to "y=" 
without using a really ugly apply call.
 

>  
>
But when I try it on exponentials or trigonometric functions, I get the 
>> following weird error.
>>
>>
>> fracintegral(sin(x),1/2)
>>>
>>  
>>>
>>
> I can't reproduce this.
>


I've found that it seems to only show up for me if I start sage and run the 
defined function first. It is guaranteed to give me this error first time 
and will keep on giving me errors until I run the indefinite integral form 
of the same name function. Then it will sometimes give me correct-ish 
answers from then on. I've attached my sage worksheet. I'm on a 64-bit 
machine. Possible issue?
 

>  
>
>> But if I type in 
>>
>>> integrate((x-t)^(1/2)*sin(t),t)
>>
>>
>> it seems to work, but with a really weird result (expintegral_e?)
>>
>>> -1/2*sqrt(t - x)*(((expintegral_e(-1/2, -I*t + I*x) +
>>>> expintegral_e(-1/2, I*t - I*x))*t - (expintegral_e(-1/2, -I*t + I*x) +
>>>> expintegral_e(-1/2, I*t - I*x))*x)*sin(x) - ((-I*expintegral_e(-1/2,
>>>> -I*t + I*x) + I*expintegral_e(-1/2, I*t - I*x))*x +
>>>> (I*expintegral_e(-1/2, -I*t + I*x) - I*expintegral_e(-1/2, I*t -
>>>> I*x))*t)*cos(x))
>>>>
>>>>
>>
> See http://trac.sagemath.org/sage_trac/ticket/11143.  This is
>
> The generalized complex exponential integral `E_n(z)`
>
> We just need to finish a few things on this, but you are welcome to use it 
> now.  
>

Ohhhh, this looks goooooood. :D 
Is it possible to do this over a binary installation, or will I need to 
install and build from source? I'm asking because as well as my Linux 
install at home, I'm running a binary virtual image on Windows at work.

Thanks for this kcrisman,
Joal Heagney

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Attachment: Fractional Integral.sws
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