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Question: Increased precision for complex integration

Question:Increased precision for complex integration

Rune - math 5 Maple
January 28 2013
1

Hi

I am trying to compute the value of a complex integral with higher precision, but if I increase the number of significant digits the value is not computed. Are there any approaches that can give me higher precision?
Residue calculus does not appear to be an option but as the exponents are not necessarily integer.

The problem is the following:

int_C(phi(z)*exp(-l*z))intd z

where C can be parametrized by t->mu+t+c*I*t for t=0..infinity, mu and l is real.

phi(z) is a rational function with fractional exponents with singularities on the real line greater than mu.
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