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COSET OF A HYPERCOMPLEX NUMBER SYSTEM IN CLIFFORD ANALYSIS

  • KIM, JI EUN (DEPARTMENT OF MATHEMATICS PUSAN NATIONAL UNIVERSITY) ;
  • SHON, KWANG HO (DEPARTMENT OF MATHEMATICS PUSAN NATIONAL UNIVERSITY)
  • Received : 2014.11.24
  • Published : 2015.09.30

Abstract

We give certain properties of elements in a coset group with hypercomplex numbers and research a monogenic function and a Clifford regular function with values in a coset group by defining differential operators. We give properties of those functions and a power of elements in a coset group with hypercomplex numbers.

Keywords

References

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  2. PROPERTIES OF REGULAR FUNCTIONS WITH VALUES IN BICOMPLEX NUMBERS vol.53, pp.2, 2016, https://doi.org/10.4134/BKMS.2016.53.2.507
  3. DUAL QUATERNIONIC REGULAR FUNCTION OF DUAL QUATERNION VARIABLES vol.23, pp.1, 2016, https://doi.org/10.7468/jksmeb.2016.23.1.97
  4. THE DERIVATIVE OF A DUAL QUATERNIONIC FUNCTION WITH VALUES IN DUAL QUATERNIONS vol.37, pp.4, 2015, https://doi.org/10.5831/HMJ.2015.37.4.559