The discussion revolves around the branch cut for the function (lnz)^2, specifically focusing on determining branch points and the range of the function. Participants explore the similarities to the branch cut for lnz and question the behavior of the function as z approaches certain values.
The discussion is ongoing, with some participants providing insights into the nature of branch cuts and the holomorphic properties of ln(z). There is a recognition of differing preferences for approaches, such as the use of Riemann surfaces. However, no consensus has been reached on the specific branch points or the range of the function.
Participants note the ambiguity in the original question, which may hinder responses. The discussion also reflects a general understanding that branch cuts can be chosen based on logical reasoning, though preferences vary among participants.
Do you mean, "Does z go from 0 to ∞?" Your question is unclear, which is why no one will answer.CrimsonFlash said:Homework Statement
It is simply the same as the one for lnz i.e. does it go from 0 to ∞?
Also, is there any proper way to figure out branch points of a function?