#17151: symbolic Laguerre / associated Laguerre polynomials
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Reporter: rws | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.4
Component: symbolics | Resolution:
Keywords: special, function, holonomic, | Merged in:
orthogonal | Reviewers:
Authors: | Work issues:
Report Upstream: N/A | Commit:
Branch: | Stopgaps:
Dependencies: |
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Description changed by rws:
Old description:
> Not only is `laguerre(n,x)` not symbolic, a naive implementation is
> already 2x as fast at `n=100` and 10x at `n=1000`:
> {{{
> R.<x> = PolynomialRing(QQ, 'x')
> def lag(n):
> return R([binomial(n,k)*(-1)^k/factorial(k) for k in xrange(n+1)])
> }}}
New description:
Not only is `laguerre(n,x)` not symbolic, a naive implementation is
already 2x as fast at `n=100` and 10x at `n=1000`:
{{{
R.<x> = PolynomialRing(QQ, 'x')
def lag(n):
return R([binomial(n,k)*(-1)^k/factorial(k) for k in xrange(n+1)])
}}}
* https://en.wikipedia.org/wiki/Laguerre_polynomials
* http://mathworld.wolfram.com/LaguerrePolynomial.html
* http://mathworld.wolfram.com/AssociatedLaguerrePolynomial.html
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Ticket URL: <http://trac.sagemath.org/ticket/17151#comment:1>
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