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With z=x+iy, which of the following function f(x,y) is not a (complex) analytic function of z?
- a)
- b)
- c)
- d)
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
With z=x+iy,which of the following functionf(x,y)is not a (complex) an...
Since we know that for analytic function Cauchy Riemann condition must be satisfied. For function 
Cauchy Riemann condition is not satisfied, therefore function is not analytic function of z.
Now, for
Now,
is not analytic function and (2+z) is analytic function. Therefore product of these two functions is not be analytic.
For other options:
Analytic function
Analytic function
Cauchy Riemann condition is not satisfied, therefore function is not analytic function of z.Now, for
Now,
is not analytic function and (2+z) is analytic function. Therefore product of these two functions is not be analytic.For other options:
Analytic function
Analytic function
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