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.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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(it is advanced theory of complex funtion question.)
solve the question 4 in the picture
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