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Recent questions tagged analytic-functions
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GATE ECE 2015 Set 1 | Question: 4
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? The residue of $\frac{z}{z^2-1}$ at $z=1$ is $1/2$ $\oint_C z^2 dz=0$ $\frac{1}{2 \pi i} \oint_C \frac{1}{z} dz =1$ $\overline{z}$ (complex conjugate of $z$ is an analytical function
Milicevic3306
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Complex Analysis
Mar 28, 2018
by
Milicevic3306
15.8k
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gate2015-ec-1
complex-analysis
analytic-functions
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GATE ECE 2014 Set 2 | Question: 27
The real part of an analytic function $f(z)$ where $z = x + jy$ is given by $e^{-y} \cos(x)$. The imaginary part of $f(z)$ is $e^{y} \cos( x )$ $e^{-y} \sin( x )$ $-e^{y} \sin ( x )$ $-e^{-y} \sin (x )$
Milicevic3306
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Complex Analysis
Mar 26, 2018
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Milicevic3306
15.8k
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80
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gate2014-ec-2
analytic-functions
complex-analysis
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