Integral in complex plane...

eljose

Let be the integral in the complex plane:

Int(1-i8,1+i8)dz/f(z) is there anumerical method to solve it (i know that it could be solved by calculating the residues of f(z) buit my iterest is in knowing if it can be calculated by using some numerical method...thanks)

HallsofIvy

If you mean integral from 1- 8i to 1+ 8i, then it isn't even well defined. You will need to integrate along a particular path and the result will depend upon which side of any zeroes of f you go on.

eljose

well the path would be across the real line re(z)=1 here with 8 i mean infinite, now i could solve it by calculating the zeroes of f(z) but i am not intersted in it i am interested in knowing if there is a numerical method to solve it and where could i find it