Complex Variables and Partial Differential Equations (3130005)

Question-2c ( ii )-OR

BE | Semester-3 Summer-2020 | 27-10-2020

Q2) (c ( ii ))

Find the roots of $\log z = i \frac{π}{2}$ .

Here,

\log z = i \frac{π}{2}

.

\Rightarrow \log r + iθ = i \frac{π}{2}

\Rightarrow \log r = 0 & θ = \frac{π}{2}

\Rightarrow r = 1 & θ = \frac{π}{2}

\Rightarrow z = i

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