1
GATE ME 2024
MCQ (Single Correct Answer)
+1
-0.33
Let f(z) be an analytic function, where z = x + iy . If the real part of f(z) is cosh x cos y , and the imaginary part of f(z) is zero for y = 0 , then f(z) is
2
GATE ME 2023
Numerical
+1
-0
The value of k that makes the complex-valued function
๐(๐ง) = ๐โ๐๐ฅ (cos 2๐ฆ โ ๐ sin 2๐ฆ)
analytic, where ๐ง = ๐ฅ + ๐๐ฆ, is _________.
(Answer in integer)
Your input ____
3
GATE ME 2016 Set 3
MCQ (Single Correct Answer)
+1
-0.3
Solutions of Laplace's equation having continuous second-order partial derivatives are called
4
GATE ME 2016 Set 1
MCQ (Single Correct Answer)
+1
-0.3
$$f\left( z \right) = u\left( {x,y} \right) + i\,\,\,\,v\left( {x,y} \right)$$ is an analytic function of complex variable $$z=x+iy$$ , where $$i = \sqrt { - 1} $$ If $$u(x,y)=2xy,$$ then $$v(x,y)$$ may be expressed as
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