#15057: SymPy conversions for symbolic functions that are missing them
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       Reporter:  eviatarbach  |        Owner:
           Type:  enhancement  |       Status:  needs_review
       Priority:  major        |    Milestone:  sage-5.12
      Component:  symbolics    |   Resolution:
       Keywords:               |    Merged in:
        Authors:               |    Reviewers:
Report Upstream:  N/A          |  Work issues:
         Branch:               |       Commit:
   Dependencies:  #14694       |     Stopgaps:
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Comment (by eviatarbach):

 Actually, I didn't include the conversions for the exponential integrals
 and `lambert_w`. Patch for that coming up.

 Here are the functions in Sage that are not in SymPy as far as I can tell.
 I haven't checked the ones in `sage/rings/arith.py` yet, and of course
 there are tons of combinatorial functions.

 * Dickman's function (`dickman_rho` in Sage)
 * Heaviside step function and unit step function (`heaviside` and
 `unit_step` in Sage; they only seem to differ in that `heaviside` is
 undefined at 0)
 * Inverse Jacobi functions (`inverse_jacobi` in Sage)
 * Jacobi amplitude function (to be added in #14996 as `jacobi_am`)
 * Spherical Bessel and spherical Hankel functions (`spherical_bessel_J`,
 `spherical_bessel_Y`, `spherical_hankel1`, and `spherical_hankel2` in
 Sage)
 * Symmetric zeta function (`zeta_symmetric` in Sage)
 * Derivatives of the zeta function (`zetaderiv` in Sage)

 Note that some SymPy conversions are going to be added in pending tickets
 that transition functions to use Sage's `BuiltinFunction` instead of being
 simple Maxima wrappers. For example, #15046 and #14996.

--
Ticket URL: <http://trac.sagemath.org/ticket/15057#comment:9>
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