Recent content by Zukias

I think it means when functions are multiplied, added, substracted, divided etc, that's what I'm assuming anyway

i. Let f and g be functions with a pole at c. Create rules (and prove them) about how we can combine f and g at c. and ii: Find the poles of the function : \frac{cotz+cosz}{sin2z} and classify these poles using part i.

Wouldn't the coefficients of $x^{-1}$ in the LE's of f(x) and f(-x) be the same, since if f(x) = f(-x), then surely they'd have identical Laurent expansions. Also if $b_n$ are the coefficients for the Laurent Expansion of f(-x), since the 1/z term has odd power between the two series of f(x)...

Thanks for the welcomes (drink) Thanks for replying :) and I should have specified the reason I am struggling with part i. I know that an even function is a function like cos(x) which is symmetric about the y-axis and I know the laurent expansions of cos(x) and maybe a few other individual...

Hi! I am having a hard time with residues. :( I understand the formal definition of a residue, but anything past that and I am struggling. My course lecturer has a very confusing way of organising the course material and it is very hard to comprehend so was wondering if anyone could help with...