/usr/lib/open-axiom/input/operator.input is in open-axiom-test 1.4.1+svn~2299+ds-1ubuntu1.
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1 2 3 4 5 6 7 8 9 10 11 | --Copyright The Numerical Algorithms Group Limited 1991, 1995.
)clear all
L n ==
n = 0 => 1
n = 1 => x
(2*n-1)/n * x * L(n-1) - (n-1)/n * L(n-2)
dx := operator("D") :: OP(POLY FRAC INT)
evaluate(dx, p +-> differentiate(p, 'x))$OP(POLY FRAC INT)
E n == (1 - x**2) * dx**2 - 2 * x * dx + n*(n+1)
L 15
E 15
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