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Some Algebraic and Analytical Properties of Coquaternion Algebra

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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.

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Authors and Affiliations

  1. Department of Mathematics, Zhytomyr State University, Zhytomyr, 10008, Ukraine

    Anatoliy A. Pogoruy

  2. Tecnológico de Monterrey, E. Garza Sada 2501 Sur, Col. Tecnológico, C.P. 64849, Monterrey, NL, México

    Ramón M. Rodríguez-Dagnino

Authors
  1. Anatoliy A. Pogoruy
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  2. Ramón M. Rodríguez-Dagnino
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Corresponding author

Correspondence to Anatoliy A. Pogoruy.

Additional information

This work was completed with the support of the State Fund to Fundamental researches of Ukraine, Project No. 25, 1/084, and the Chair on Telecommunications at Tecnológico de Monterrey.

Received: January 7, 2008. Accepted: August 06, 2008.

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Pogoruy, A.A., Rodríguez-Dagnino, R.M. Some Algebraic and Analytical Properties of Coquaternion Algebra. AACA 20, 79–84 (2010). https://doi.org/10.1007/s00006-008-0142-3

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  • DOI: https://doi.org/10.1007/s00006-008-0142-3

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