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Multivalued Elementary Functions in Computer-Algebra Systems

  • David J. Jeffrey
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8884)

Abstract

An implementation (in Maple) of the multivalued elementary inverse functions is described. The new approach addresses the difference between the single-valued inverse function defined by computer systems and the multivalued function which represents the multiple solutions of the defining equation. The implementation takes an idea from complex analysis, namely the branch of an inverse function, and defines an index for each branch. The branch index then becomes an additional argument to the (new) function. A benefit of the new approach is that it helps with the general problem of correctly simplifying expressions containing multivalued functions.

Keywords

Riemann Surface Inverse Function Multivalued Function Fractional Power Local Branch 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • David J. Jeffrey
    • 1
  1. 1.Department of Applied MathematicsUniversity of Western OntarioCanada

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