East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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RELATIONS OF L-REGULAR FUNCTIONS ON QUATERNIONS IN CLIFFORD ANALYSIS

  • KANG, HAN UL (DEPARTMENT OF MATHEMATICS, PUSAN NATIONAL UNIVERSITY) ;
  • SHON, KWANG HO (DEPARTMENT OF MATHEMATICS, PUSAN NATIONAL UNIVERSITY)
  • Received : 2015.08.28
  • Accepted : 2015.09.10
  • Published : 2015.09.30
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Abstract

In this paper, we provide some properties of several left regular functions in Clifford analysis. We find the corresponding Cauchy-Riemann system and conjugate harmonic functions of the harmonic functions, for each left regular function in the sense of several complex variables. And we investigate certain properties of generalized quaternions in Clifford analysis.

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References

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  1. SEVERAL PROPERTIES OF QUATERNIONIC REGULAR FUNCTIONS IN CLIFFORD ANALYSIS vol.37, pp.4, 2015, https://doi.org/10.5831/HMJ.2015.37.4.569
  2. RELATIONS BETWEEN QUATERNIONIC DIFFERENTIAL AND THE CORRESPONDING CAUCHY RIEMANN SYSTEM vol.32, pp.3, 2015, https://doi.org/10.7858/eamj.2016.023
  3. CHARACTERIZATIONS OF SEVERAL SPLIT REGULAR FUNCTIONS ON SPLIT QUATERNION IN CLIFFORD ANALYSIS vol.33, pp.3, 2015, https://doi.org/10.7858/eamj.2017.023