Advances in Applied Clifford Algebras

, Volume 20, Issue 1, pp 79–84

Some Algebraic and Analytical Properties of Coquaternion Algebra

  • Anatoliy A. Pogoruy
  • Ramón M. Rodríguez-Dagnino
Article

DOI: 10.1007/s00006-008-0142-3

Cite this article as:
Pogoruy, A.A. & Rodríguez-Dagnino, R.M. AACA (2010) 20: 79. doi:10.1007/s00006-008-0142-3

Abstract.

The aim of this work is to prove some basic properties of coquaternions and to find the zeros of polynomials involving coquaternionic elements. We also provide some expansions of hyperholomorphic function on coquaternion algebra by using Fueter polynomials.

Mathematics Subject Classification (2000).

Primary 37F10 Secondary 32A10 

Keywords.

Coquaternion algebra zeros of quaternionic polynomials hyper-holomorphic function Fueter polynomials 

Copyright information

© Birkhäuser Verlag Basel/Switzerland 2008

Authors and Affiliations

  • Anatoliy A. Pogoruy
    • 1
  • Ramón M. Rodríguez-Dagnino
    • 2
  1. 1.Department of MathematicsZhytomyr State UniversityZhytomyrUkraine
  2. 2.Tecnológico de MonterreyMonterreyMéxico

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