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Can your computer do complex analysis? Helmer Aslaksen
 

Summary: Can your computer do complex analysis?
Helmer Aslaksen
Department of Mathematics
National University of Singapore
Singapore 117543
Singapore
aslaksen@math.nus.edu.sg
www.math.nus.edu.sg/aslaksen/
1 Introduction
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-
tions
For z D x C iy, the complex exponential function is defined by
ez
D ex
.cos y C i sin y/:
We define the principal argument by z D jzjei Arg z
where Arg z 2 . ; . We

  

Source: Aslaksen, Helmer - Department of Mathematics, National University of Singapore

 

Collections: Mathematics