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1 4. Let f(z)=: Show that J(z))dz = 0 , where Cis a simple closed contour not passing throughout origin. But, J is not analytic at the point =0. Does it contradict with Morera Theorem? Explain it.

1 4. Let f(z)=: Show that J(z))dz = 0 , where Cis a simple closed contour not passing throughout origin. But, J is not analytic at the point =0. Does it contradict with Morera Theorem? Explain it.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(it is advanced theory of complex funtion question.)

solve the question 4 in the picture

4. Let f(z)=, 2:Show that J(z)dz = 0, where Cis a simple closed contour not passing throughout origin. But, / is not analytic at the point z =0 Does it contradict with Morera Theorem? Explain it.
Transcribed Image Text:4. Let f(z)=, 2:Show that J(z)dz = 0, where Cis a simple closed contour not passing throughout origin. But, / is not analytic at the point z =0 Does it contradict with Morera Theorem? Explain it.
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