- #1
roy240
- 1
- 0
Homework Statement
Question is= Find all Laurent series expansion of f(z)=z^4/(3+z^2) around 1. I will be very very thankful if someone can help me to do this question.
Homework Equations
The Attempt at a Solution
can I assume (z-1=u) here and change the function in terms of $u$. then i will have
f(u+1)=(u+1)^4/(u+2)^2
It should have singularity at $u=-2$. now I m big confuse about in what regions I should compute Laurent series.
I have trouble of thinking that how many laurent series I will have and what will be the conditions on $z$.
Thanks !