On Saturday, May 3, 2014 7:17:04 AM UTC-4, [email protected] wrote:
>
> I am new to Sage; trying to explore open source alternatives to 
> Mathematica. 
>
> However, I seem to be having trouble with the incomplete gamma function. 
> Here are two difficulties. First, in trying to evaluate the incomplete 
> gamma function at a point where the result should be very small, I just get 
> zero even if I increase the precision arbitrarily. In particular consider 
>
> numerical_approx(gamma(9, 10^(-3))-gamma(9), digits=40)
>
> the value of this number is approximate -1.1 \times 10^(-28), but I just 
> get 0.00000 ...0 for the input above.
>
>
I believe mpmath (in Sage) should also be able to do this fine, though I 
haven't tested your particular case:

http://mpmath.googlecode.com/svn/trunk/doc/build/functions/expintegrals.html#gammainc
 

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