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Slice Regular Functions: Algebra

  • Fabrizio Colombo
  • Irene SabadiniEmail author
  • Daniele C. Struppa
Chapter
  • 269 Downloads
Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Abstract

This chapter contains the definition and some basic results on slice regular functions. In particular, we discuss the subclass of slice regular intrinsic functions which possess additional properties. This subclass contains the transcendental functions like the quaternionic exponential, sine and cosine. We also introduce a suitable multiplication and a notion of composition which preserve slice regularity.

Keywords

Power Series Regular Function Formal Power Series Clifford Algebra Representation Formula 
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Copyright information

© The Author(s) 2016

Authors and Affiliations

  • Fabrizio Colombo
    • 1
  • Irene Sabadini
    • 1
    Email author
  • Daniele C. Struppa
    • 2
  1. 1.Dipartimento di MatematicaPolitecnico di MilanoMilanItaly
  2. 2.Schmid College of Science and TechnologyChapman UniversityOrangeUSA

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