root <[EMAIL PROTECTED]> writes:
> Axiom has a closed form for 2 integrals where Schaums has series.
But at least one of them seems to be wrong. Since it seems that my message was
overlooked, I repeat it here:
[EMAIL PROTECTED] writes:
> 14:668 SCHAUMS AND AXIOM DIFFER (Axiom has closed form)
But I'm not so sure that it is correct, at least not for a=1 and x in 0..1.
draw(D(integrate(asech(x)/x,x),x)-asech(x)/x, x=0..1)
I'm an absolute nobody on this stuff, so I may well be missing something. On
the other hand, the power series for (asech x)/x + (log x - log 2)/x is
Dfinite:
(76) -> guessPRec [coefficient(series normalize((asech x + log x - log 2) /
x)::GSERIES(EXPR INT, x, 0), i) for i in 0..30]
(76)
[
[
function =
BRACKET
f(n):
2 2 1
(n + 6n + 9)f(n + 2) + (- n - 3n - 2)f(n)= 0,f(0)= 0,f(1)= - -
4
,
order= 0]
]
Type: List Record(function: Expression Integer,order: NonNegativeInteger)
and this doesn't agree at all with the power series you get from
D(integrate(asech(x)/x,x),x).
Should be investigated,
Martin
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