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## Homework Statement

specialize cauchy's formula to the case when z is the center of the circle and show that

f(z) = (1/2[tex]\pi[/tex])[tex]\int[/tex] f(z + re^(it)) dt

integral limits are 0 to 2[tex]\pi[/tex]

## Homework Equations

cauchy's formula

f(z) = (1/i2*pi) [tex]\int[/tex] f([tex]\zeta[/tex])/([tex]\xi[/tex] - z) d[tex]\zeta[/tex]

it is 2*pi not 2^pi just to be sure

## The Attempt at a Solution

i have no idea how to do this

any input or hints would be appreciated