#13720: Scale legendre_P to [a,b]
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Reporter: mjo | Owner: burcin
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-5.11
Component: symbolics | Resolution:
Keywords: | Work issues:
Report Upstream: N/A | Reviewers: Francis Clarke,
Karl-Dieter Crisman
Authors: Michael Orlitzky | Merged in:
Dependencies: | Stopgaps:
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Changes (by mjo):
* status: needs_work => needs_review
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].
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].
apply: sage-trac_13720.patch
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Comment:
Ok, I added a plotting example, and three tests for nonsense input.
They're at the end of their respective sections.
What might not be standard terminology? "Scaling"? In any case I don't
think I'm qualified to say, but it made sense to me at the time.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13720#comment:14>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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