On Kahan's rules for determining branch cuts

Frédéric Chyzak, James H Davenport, Christoph Koutschan, Bruno Salvy

Research output: Chapter in Book/Report/Conference proceedingChapter

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Abstract

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.
Original languageEnglish
Title of host publicationProc. SYNASC '11
PublisherIEEE
Number of pages5
Publication statusPublished - 2012

Keywords

  • differential equation
  • computer algebra
  • branch cut

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