#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 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')
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/17192#comment:10>
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