(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Hello friends,

I'm a student of mechanical engineering and I have a problem with computing residues of a complex function. I've read some useful comments. Now I ve got some ideas about essential singularity and series expansion in computing the residue. However, I still can't find the solution to my problem.

I arrived at a complex function in the process of finding a solution to a mechanical problem.

Then I have to obtain the residues to proceed to the next steps.

2. Relevant equations

The function has the following form:

f(z)=exp(A*Z^N+B*Z^-N)/Z

where A, B and N are real constants (N>=3).

3. The attempt at a solution

I want to compute the resiude at z=0. I wrote the Laurent serie of f but got an infinite sum. I do not even know if I am at the right direction.

I would be really thankful if someone could give me a hint on this and put me back in the right direction.

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# Residue of a complex function with essential singularity

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