#16670: make all orthogonal polynomials symbolic
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Reporter: rws | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-wishlist
Component: symbolics | Resolution:
Keywords: orthogonal, holonomic | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Changes (by rws):
* branch: u/rws/make_all_orthogonal_polynomials_symbolic =>
* milestone: sage-6.4 => sage-wishlist
Old description:
> At the moment just the Chebyshev polynomials are symbolic. Missing are
> `hermite`, `laguerre`, `legendreP`, `legendreQ`, `ultraspherical`
> (=`gegenbauer`), and, while the Stirling and Euler polynomials are not
> orthogonal, they are holonomic and belong to the standard repertoire, so
> we're including them here.
New description:
At the moment just the Chebyshev polynomials are symbolic. Missing are
`hermite`, `laguerre`, `legendreP`, `legendreQ`, `ultraspherical`
(=`gegenbauer`), and, while the Stirling and Euler polynomials are not
orthogonal, they are holonomic and belong to the standard repertoire, so
we're including them here.
* symbolic Associated Legendre P(n,m,x) / Q(n,m,x) and P(n,x) / Q(n,x)
polynomials / functions (#16813)
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Comment:
The speed issue is now #16812
I think the scope of the ticket is too broad. Let's make it a meta-ticket.
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Ticket URL: <http://trac.sagemath.org/ticket/16670#comment:6>
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