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Topic: questions about macsyma
Replies: 2   Last Post: Jun 17, 1996 12:14 PM

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Dan Stanger

Posts: 4
Registered: 12/8/04
questions about macsyma
Posted: Jun 14, 1996 2:44 PM
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1. does macsyma have a recognizer for bessel integrals such as
integral(cos(x*sin(u)),u,-%pi,-%pi)
2. how can i compute the inverse laplace transform of
1/sqrt(1+s^2). when i try to execute
integral(exp(z*s)/sqrt(1+s^2),s,a-%i*inf, a+%i*inf) i get the error
that limits of integration must be real.
3. is there a way to compute termwise, the integral of a
powerseries?
4. in using closedform to sum
sum(q^n*x^2n*(-1)^n/n!,n,0,inf) i got the error taylor found a essential singularity.
this is just the series for exp(q*x^2).
5. i have a series
sum(x^(2*n)/(sqrt(1+x^2)*n!), n, 0, inf) and i want to integrate term by term between
0 and 1. i have a reduction formula for integral(x^n/sqrt(1+x^2) which is
x^m*sqrt(1+x^2)/m + integral(x^(n-2)/sqrt(1+x^2)).
how can i get macsyma to apply the reduction formula to the series
to convert it to a double series.
6. how can i find out which integrals macsyma can recognize.

thanks for your help,
dan stanger







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