A POLAR REPRESENTATION OF A REGULARITY OF A DUAL QUATERNIONIC FUNCTION IN CLIFFORD ANALYSIS

被引：1
|
作者：
Kim, Ji Eun [1 ]
Shon, Kwang Ho [2 ]
机构：
[1] Dongguk Univ, Dept Math, Gyeongju Si 38066, South Korea
[2] Pusan Natl Univ, Dept Math, Busan 46241, South Korea
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2017年 / 54卷 / 02期
关键词：
quaternion; dual number; polar representation; regularity; Clifford analysis;
D O I：
10.4134/BKMS.b160200
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper gives the regularity of dual quaternionic functions and the dual Cauchy-Riemann system in dual quaternions. Also, the paper researches the polar representation and properties of a dual quaternionic function and their regular quaternionic functions.
引用
收藏
页码：583 / 592
页数：10
相关论文
共 20 条
  • [1] Application of slice regularity to functions of a dual-quaternionic variable
    Eun, Kim Ji
    CARPATHIAN MATHEMATICAL PUBLICATIONS, 2021, 13 (02) : 298 - 304
  • [2] DUAL QUATERNIONIC REGULAR FUNCTION OF DUAL QUATERNION VARIABLES
    Kim, Ji Eun
    Shon, Kwang Ho
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2016, 23 (01): : 97 - 104
  • [3] A Survey on the (Hyper-) Derivatives in Complex, Quaternionic and Clifford Analysis
    Luna-Elizarraras, M. E.
    Shapiro, M.
    MILAN JOURNAL OF MATHEMATICS, 2011, 79 (02) : 521 - 542
  • [4] A Survey on the (Hyper-) Derivatives in Complex, Quaternionic and Clifford Analysis
    M. E. Luna-Elizarrarás
    M. Shapiro
    Milan Journal of Mathematics, 2011, 79 : 521 - 542
  • [5] Regular Functions on Dual Split Quaternions in Clifford Analysis
    Kim, Ji Eun
    Shon, Kwang Ho
    FILOMAT, 2017, 31 (01) : 17 - 27
  • [6] A regularity of split-biquaternionic-valued functions in Clifford analysis
    Kim, Ji Eun
    Shon, Kwang Ho
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (12): : 6302 - 6311
  • [7] SPLIT HYPERHOLOMORPHIC FUNCTION IN CLIFFORD ANALYSIS
    Lim, Su Jin
    Shon, Kwang Ho
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2015, 22 (01): : 57 - 63
  • [8] Bergman function and Dirichlet problem in Clifford analysis
    Lin, W
    Tao, JC
    PROGRESS IN ANALYSIS, VOLS I AND II, 2003, : 737 - 746
  • [9] HOLOMORPHIC FUNCTION SPACES AND THEIR PROPERTIES IN CLIFFORD ANALYSIS
    Qiao, Yu-Ying
    Yang, He-Ju
    Qiao, Hai-Ying
    Hu, Jing
    BOUNDARY VALUE PROBLEMS, INTEGRAL EQUATIONS AND RELATED PROBLEMS, 2011, : 236 - 243
  • [10] Logarithmic derivative of the Euler Γ-function in Clifford analysis
    Laville, G
    Randriamihamison, L
    REVISTA MATEMATICA IBEROAMERICANA, 2005, 21 (03) : 695 - 728
12