#16813: symbolic Legendre / associated Legendre functions / polynomials
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Reporter: rws | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.4
Component: symbolics | Keywords:
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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Existing numeric functions are `legendre_P`, `legendre_Q`,
`gen_legendre_P`, and `gen_legendre_Q` which correspond to P(n,x) / Q(n,x)
and associated Legendre P(n,m,x) / Q(n,m,x).
They should be made symbolic. FLINT has fast code for P(n,x).
* PQ(n,x)
* https://en.wikipedia.org/wiki/Legendre_polynomials
* http://mathworld.wolfram.com/LegendrePolynomial.html
* PQ(n,m,x)
* https://en.wikipedia.org/wiki/Associated_Legendre_polynomials
* http://mathworld.wolfram.com/AssociatedLegendrePolynomial.html
* functions PQ
* https://en.wikipedia.org/wiki/Legendre_function
* http://mathworld.wolfram.com/LegendreFunctionoftheFirstKind.html
* http://mathworld.wolfram.com/LegendreFunctionoftheSecondKind.html
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Ticket URL: <http://trac.sagemath.org/ticket/16813>
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