1.

Let z = x + iy be a complex variable. Consider that contour integration is performed along the unit circle in anticlockwise direction. Which one of the following statements is Not True?

A. The residue of \(\frac{{\rm{z}}}{{{{\rm{z}}^2} - 1}}{\rm{at\;z}} = 1{\rm{\;is\;}}1/2\)
B. \(\mathop \oint \limits_{\rm{c}}^{\rm{\;}} {{\rm{z}}^2}{\rm{dz}} = 0\)
C. \(\frac{1}{{2{\rm{\pi i}}}}\mathop \oint \limits_{\rm{c}}^{\rm{\;}} \frac{1}{{\rm{z}}}{\rm{dz}} = 1\)
D. \({\rm{\bar z}}\) (Complex conjugate of z) is an analytical function
Answer» E.


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