GATE Mechanical Engineering (ME) 2020 Shift 1 Solved Paper

Question : 20 of 65

Marks: +1, -0

Which of the following function

f(z)

, of the complex variable

z

, is NOT analytic at all the points of the complex plane?

Solution:

f(z)=\log z

z=0

f(z)=\log z ⇒

not defined Hence out of all other functions

\log z

is not analytic at

z=0

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