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the complex function e left frac 2 z 1 right has
Question:
The complex function \( e^{-\left(\frac{2}{z-1}\right)} \) has:
GATE PH - 2024
GATE PH
Updated On:
Jul 12, 2024
a simple pole at \( z = 1 \)
an essential singularity at \( z = 1 \)
a residue equal to \( -2 \) at \( z = 1 \)
a branch point at \( z = 1 \)
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The Correct Option is
B,
C
Solution and Explanation
The correct options are (B) :an essential singularity at \( z = 1 \) ,(C):a residue equal to \( -2 \) at \( z = 1 \)
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