#13720: Scale legendre_P to [a,b]
-------------------------------------+-------------------------------------
Reporter: mjo | Owner: burcin
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-5.13
Component: symbolics | Resolution:
Keywords: | Merged in:
Authors: Michael Orlitzky | Reviewers: Francis Clarke, Karl-
Report Upstream: N/A | Dieter Crisman
Branch: | Work issues:
u/mjo/ticket/13720 | Commit:
Dependencies: | ce0a4578af9efdef9356d318d698daed1ef27e9b
| Stopgaps:
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Changes (by mjo):
* status: needs_work => needs_review
* commit: => ce0a4578af9efdef9356d318d698daed1ef27e9b
* branch: => u/mjo/ticket/13720
Old description:
> The Legendre polynomials, returned by `legendre_P()`, of the first kind
> are orthogonal over [-1,1] and are normalized to have value +-1 at the
> endpoints.
>
> When solving least-squares problems, it's convenient to be able to
> construct them over an arbitrary interval [a,b].
>
> apply: sage-trac_13720.patch
New description:
The Legendre polynomials, returned by `legendre_P()`, of the first kind
are orthogonal over [-1,1] and are normalized to have value +-1 at the
endpoints.
When solving least-squares problems, it's convenient to be able to
construct them over an arbitrary interval [a,b].
--
Comment:
This should address the `a==b` issue and avoid the coercions.
----
New commits:
||[[http://git.sagemath.org/sage.git/commit/?id=ce0a457|ce0a457]]||Trac
#13720: Allow scaling of legendre_P to an arbitrary interval [a,b].||
--
Ticket URL: <http://trac.sagemath.org/ticket/13720#comment:21>
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