Let C0 and C denote the circles z z0 Rei Icirc cedil ( Iuml curren Icirc cedil curren Iuml ) and z Rei Icirc cedil ( Iuml curren Icirc cedil curren Iuml ), respectively (a) Use these parametric representations to show that when f is piecewise continuous on C (b) Apply the result in part (a) to inte...

Let C0 and C denote the circles z = z0 + ReiÎ¸ (Ï ¤ Î¸ ¤ Ï)

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Let C0 and C denote the circles
z = z0 + ReiÎ¸ (ˆ’Ï€ ‰¤ Î¸ ‰¤ Ï€) and z = ReiÎ¸ (ˆ’Ï€ ‰¤ Î¸ ‰¤ Ï€),
respectively.
(a) Use these parametric representations to show that

when f is piecewise continuous on C.
(b) Apply the result in part (a) to integrals (5) and (6) in Sec. 42 to show that

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Complex Variables and Applications

ISBN: 978-0073051949

8th edition

Authors: James Brown, Ruel Churchill

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Question Posted: Jun 01, 2016 01:41 AM

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Let C0 and C denote the circles z = z0 + ReiÎ¸ (Ï ¤ Î¸ ¤ Ï)

Question:

f(z-20) dz= | f(z) dz (z-zo)"-1 dz = 0 (n = ±1, ±2, . . .) and 2m1.

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a Since And We have b T...View the full answer

Complex Variables and Applications

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