#17192: Update Laguerre poly to add errors
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Reporter: kcrisman | Owner:
Type: defect | Status: needs_review
Priority: major | Milestone: sage-6.4
Component: calculus | Resolution:
Keywords: beginner | Merged in:
Authors: Sergey Bykov | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/captaintrunky/update_laguerre_poly_to_add_errors|
799ad05eb267f11c182cc19ed32a0b1ebe345d6b
Dependencies: | Stopgaps:
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Comment (by captaintrunky):
Replying to [comment:10 rws]:
> BTW, even Laguerre polynomials can have extensions with negative or
noninteger `n`, for example mpmath's numeric implementation:
https://mpmath.googlecode.com/svn/trunk/doc/build/functions/orthogonal.html
#laguerre-polynomials
> I'm using this function in #17151 and so the restriction will fall there
as well. You can experiment with what mpmath returns like this in Sage, as
long as #17151 is not included:
> {{{
> sage: from mpmath import laguerre as lag
> sage: lag(1/2,0,1)
> mpf('0.42519582689040547')
> sage: lag(-1,0,1)
> mpf('0.0')
> sage: lag(-1+I,0,1)
> mpc(real='2.224699152616044', imag='-2.1127345594510065')
> sage: lag(1,I,1)
> mpc(real='6.3272150395398353e-23', imag='1.0')
> }}}
I've played with it a little bit. As far as I understand, there is no way
to use negative or non-integer `n` with a current implementation. My
question is, is it worth it to support it in this particular code? There
is some activity on the general solution already, so probably there is no
point in doing such modifications?
--
Ticket URL: <http://trac.sagemath.org/ticket/17192#comment:11>
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