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

Find a formula for:

[itex]\int[/itex][itex]1/(z-a)^{m}(z-b)^{n}[/itex]dz

around a ball of radius R, centred at z_{0}

where |a| < R < |b| and m,n[itex]\in[/itex]N.

2. Relevant equations

Not sure which equations to use, a cauchy integral formula maybe...?

3. The attempt at a solution

I've attempted to split the fraction up into partial fractions, so that the integral is now:

[itex]\int[/itex][itex]1/(z-a)^{m}(b-a)^{n}[/itex]+[itex]1/(z-b)^{n}(b-a)^{m}[/itex]dz

but I don't think this has made it any easier to solve...

any suggestions?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Complex analysis formula for an integral

**Physics Forums | Science Articles, Homework Help, Discussion**