For each of the following functions $$ \ln\frac{z−1}{ z+1},$$ $$\frac{\ln(z+i)}{1 +z^2},$$ $$\ln(z^2−1),$$ find location and order of the branch points, and give a valid branch cut.
Can you help me with these? Any hint for example 2.
For each of the following functions $$ \ln\frac{z−1}{ z+1},$$ $$\frac{\ln(z+i)}{1 +z^2},$$ $$\ln(z^2−1),$$ find location and order of the branch points, and give a valid branch cut.
Can you help me with these? Any hint for example 2.
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