On Kahan's Rules for Determining Branch Cuts

Details On Kahan's Rules for Determining Branch Cuts On Kahan's Rules for Determining Branch Cuts

2011-09-13

arxiv.org/abs/1109.2809v2

Computer Science

Symbolic Computation

SYNASC 2011. 13th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing. (2011)

Scientific paper

In computer algebra there are different ways of approaching the mathematical concept of functions, one of which is by defining them as solutions of differential equations. We compare different such approaches and discuss the occurring problems. The main focus is on the question of determining possible branch cuts. We explore the extent to which the treatment of branch cuts can be rendered (more) algorithmic, by adapting Kahan's rules to the differential equation setting.

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