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On k-Analytic Functions of an Octonionic Variable

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Abstract

A theory of k-analytic functions on octonions is established. The Cauchy integral formulas, Taylor series and Laurent series for the k-analytic functions are given. Moreover, we obtain the orthogonality relations for the basis of k-analytic functions.

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Authors and Affiliations

  1. Department of Mathematics, Guangdong University of Education, Guangzhou, 510303, People’s Republic of China

    Jianquan Liao

  2. School of Computer, South China Normal University, Guangzhou, 510631, People’s Republic of China

    Xingmin Li

Authors
  1. Jianquan Liao
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  2. Xingmin Li
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Correspondence to Jianquan Liao.

Additional information

Communicated by John Ryan.

This work was supported by the Research Project Sponsored by Department of Education of Guangdong Province–Seedling Engineering (NS) (2013LYM0061) and the National Natural Science Foundation of China (11401113).

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Liao, J., Li, X. On k-Analytic Functions of an Octonionic Variable. Adv. Appl. Clifford Algebras 27, 3149–3166 (2017). https://doi.org/10.1007/s00006-017-0807-x

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