#15024: Add Hankel functions and make spherical Bessel and Hankel functions
symbolic
-------------------------------------+-------------------------------------
Reporter: eviatarbach | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.4
Component: symbolics | Resolution:
Keywords: | Merged in:
Authors: Eviatar Bach, | Reviewers:
Ralf Stephan | Work issues:
Report Upstream: N/A | Commit:
Branch: | e1b4ee098d002ddd794acde0833b2b3f31d0c888
u/rws/add_hankel_functions_and_make_spherical_bessel_and_hankel_functions_symbolic|
Stopgaps:
Dependencies: #18257 |
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Comment (by kcrisman):
Possibly not a bug with ''this'' ticket but in Maxima (actually I think
it's in our exponential integral), a branch cut difference between us and
Mma in the integral:
{{{
sage: f(x) = Ei(-I*x) - 6*gamma(-1, I*x) - 15*gamma(-2, I*x) -
15*gamma(-3, I*x)
sage: f(3)
Ei(-3*I) - 6*gamma(-1, 3*I) - 15*gamma(-2, 3*I) - 15*gamma(-3, 3*I)
sage: f(3.)
-0.529089163583971 - 3.36665821311941*I
sage: g(x) = e^(-i*x)/x^3*(i*x^2+5*x-5*i)
sage: g(3.)
}}}
Also, the spherical Hankels don't make it into the top matter in the
reference page - a very brief mention should suffice.
--
Ticket URL: <http://trac.sagemath.org/ticket/15024#comment:20>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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