Summary: Can your computer do complex analysis?
Department of Mathematics
National University of Singapore
The purpose of this paper is to elaborate on the results in my earlier paper on
multiple-valued complex functions ([Asl96]) using the unwinding number nota-
tion introduced by Corless and Jeffrey ([CJ96]).
2 Basic problems of multiple-valued complex func-
For z D x C iy, the complex exponential function is defined by
.cos y C i sin y/:
We define the principal argument by z D jzjei Arg z
where Arg z 2 . ; . We