- #1

MadCow999

- 5

- 0

## Homework Statement

Let C. denote the circle |z-z.|= R, taken counter clockwise. use the parametric representation z= z. + Re^(io) (-pi </= o </= pi) for C. to derive the following integration formulas:

integral C. (dz/(z-z.)) = 2ipi

## Homework Equations

note: z. and C. represent z knot and c knot , and </= represents less than or equal to

and o represents theta

## The Attempt at a Solution

i was able to do some work to it, but i eventually came out with (integral of) (R i e^io)/R which goes to integral of (i e ^(io))from -pi to pi, which comes out to e^(ipi) - e^(-ipi), which my teacher showed me comes out to zero. (i didnt quite understand his method, but i do know 0=/=2ipi

T_T

thanks!