An
analytic function on an
annulus r<∣z−a∣<R has a unique locally uniformly convergent expansion
f(z)=∑n=−∞∞cn(z−a)n,cn=2πi1∮C(ζ−a)n+1f(ζ)dζ,
where
C is any positively oriented
circle around
a in the
annulus.
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