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values of the complex logarithm
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eugene
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Joined: 24 Nov 2005
Posts: 331

PostPosted: Mon May 15, 2006 3:49 pm    Post subject: values of the complex logarithm Reply with quote
I have the following question:

Suppose f_1(z) be any regular branch of log((1-z)/(1+z)) in C minus upper half unit circle and f_2(z) be any regular branch of

log((1+z)/(1-z)) in C minus lower half unit circle.


Can we choose these regular branches of the logarithm in such a way that f_1(z) coincides with f_2(z) at some prescribed finite number of points.

Thanks
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