An Integral (Complex)

amir parsa · #1 Jan 20, 2005, 05:57 AM

Dear Friends!!
I can't find any solution 4 this Integral. I know the correct Answer, but don't know why. Could u please help me out???
Regards
Amir
P.s : The Question is attached to this mail

fizixx · Mar 14, 2005, 09:03 AM

Hello Amir....

What is the c:|z| = 1/2 about?

Glipto · Mar 15, 2005, 04:35 PM

C: |z| = 1/2 is a circle with center (0,0) and radius 1/2

Maybe if we use...

If F holo, C: |z| = r and |a| < r then

F(a) = 1 / (2*pi*j) * INT[ F(z) / (z - a) dz] (Cauchy formula)

(So many years since I seen Complex analysis)



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