Article citationsMore>>

Liao, J.Q. and Li, X.M. (2012) A Note on Laurent Series of the Octonionic Analytic Functions. Advances in Applied Clifford Algebras, 22, 415-432.
https://doi.org/10.1007/s00006-011-0312-6

has been cited by the following article:

• TITLE: The Analyticity for the Product of Analytic Functions on Octonions and Its Applications

  AUTHORS: Jianquan Liao, Jinxun Wang

  KEYWORDS: Octonions, Oc-Analytic Functions, Stein-Weiss Conjugate Harmonic System, Cauchy-Kowalewski Product

  JOURNAL NAME: Advances in Pure Mathematics, Vol.7 No.12, December 26, 2017

  ABSTRACT: Given two left Oc-analytic functions f, g in some open set Ω of R8, we obtain some sufficient conditions for fg is also left Oc-analytic in Ω. Moreover, we provefλ that is a left Oc-analytic function for any constants λ∈Oc if and only if is a complex Stein-Weiss conjugate harmonic system. Some applications and connections with Cauchy-Kowalewski product are also considered.