Naming of the Exponential Integrals



On 7/26/08, Dieter Kaiser <drdieterkaiser at web.de> wrote:

> If you are interested to add the code of the Exponential Integrals to Maxima, I
>  would chose the name you prefer. It is no problem to go back to the name
>  logintegral_li for the Logarithmic Integral.

I'll leave it to you to make the decision on this point.

>  Here my to-do list for the Exponential Integrals:
>
>  1. Numerical routine for real and complex parameter of E[n](z)
>    for Float and Bigfloat numbers.
>  2. Expansion in terms of the erfc function for half integral values
>  3. Transformation to a Hypergeometric representation
>  4. Switching beetwen different representations, e.g.
>    Exponential Integrals -> Gamma Incomplete or Trignometric Integrals
>  5. Support for symbolically complex characteristics like
>    imagpart(expintegral_ei(z)), realpart(), conjugate() and cabs().

All of this sounds really good to me. Thanks a lot for working on this.
I appreciate it a lot.

Robert Dodier