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  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

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#1 2010-06-12 19:38:30

GOKILL
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Complex Function

#1
Present

in the form of Laurent series in
.

#2
Suppose
is analytic in
and differentiable at (a,b).
Prove that


#3
Let c be any line contour in
.
Prove that


#4
Let c be a square of vertices
and positively oriented.
Determine
.


I am the greatest magician this century!!!
 

#2 2010-06-12 19:41:49

GOKILL
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Re: Complex Function


I am the greatest magician this century!!!
 

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