Tagged Questions
0
votes
1answer
61 views
Compute the contour integral $\int_\gamma\frac{\sin z}{z^4}dz$
Im getting really confused looking at past exam style questions evaluating contour integrals... Can anyone help me in the right direction to solve these..
(i) $\displaystyle\int_\gamma \frac{\sin ...
1
vote
0answers
101 views
Prove that if $A$ is null and $f: \mathbb{R} \longrightarrow \mathbb{R}$ has a continuous derivative, then $f(A)$ is null
Prove that if $A$ is null and $f: \mathbb{R} \longrightarrow \mathbb{R}$ has a continuous derivative, then $f(A)$ is null.
I think it has something to do with the fact that $f'$ is bounded in any ...
0
votes
1answer
775 views
Complex Analysis: Laurent Expansion for $\frac{1}{\sin(z)}$ on different annuli.
I've been working through Hilary Priestley's Book Complex Analysis (fantastic read) and have reached her discussion of the Laurent Expansion for holomorphic functions. Considering the function
...
