East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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HYPERMEROMORPHY OF FUNCTIONS ON SPLIT QUATERNIONS IN CLIFFORD ANALYSIS

  • KIM, JI EUN (DEPARTMENT OF MATHEMATICS, PUSAN NATIONAL UNIVERSITY) ;
  • SHON, KWANG HO (DEPARTMENT OF MATHEMATICS, PUSAN NATIONAL UNIVERSITY)
  • Received : 2015.06.10
  • Accepted : 2015.09.03
  • Published : 2015.09.30
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Abstract

In this paper, we consider split quaternionic functions defined on an open set of split quaternions and give the split quaternionic functions whose each inverse function is sp-hyperholomorphic almost everywhere on ${\Omega}$. Also, we describe the definitions and notions of pseudoholomorphic functions for split quaternions.

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References

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  1. 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