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A polar representation of a regularity of a dual quaternionic function in Clifford analysis

손광호|김지은
대한수학회 (The Korean Mathematical Society)|2017.03|대한수학회보 (Bulletin of the KMS)|제54권 제2호|pp. 583-592

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참고문헌

키워드

regularityClifford analysisquaterniondual numberpolar representation
주제분류수학

초록

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.

Abstract

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.

참고문헌 (20)

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  3. Z. Ercan, "On Properties of the Dual Quaternions", Eur. J. Pure Appl. Math, 4(2), pp.142~146 (2011)
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  5. J. Kajiwara, "Finite or Infinite Dimensional Complex Analysis and Applications", pp.287~298 (2004), Springer US
  6. J. Kajiwara, "Finite or Infinite Dimensional Complex Analysis and Applications", pp.127~155 (2006), Springer US
  8. B. Kenwright, "Inverse kinematics with dual-quaternions, exponential-maps, and joint limits", Int. J. Adv. Sys, 6(1-2) (2013)
  9. J. E. Kim, "Regular functions with values in ternary number system on the complex Clifford analysis", Abstr. Appl. Anal, 2013, pp.7~ (2013)
  10. J. E. Kim, "Regularity of functions on the reduced quaternion field in Clifford analysis", Abstr. Appl. Anal, 2014, pp.8~ (2014)
  11. J. E. Kim, "The Regularity of functions on Dual split quaternions in Clifford analysis", Abstr. Appl. Anal, 2014, pp.8~ (2014)
  12. J. E. Kim, "Polar Coordinate Expression of Hyperholomorphic Functions on Split Quater-nions in Clifford Analysis", Adv. Appl. Clifford Algebr, 25(4), pp.915~924 (2015)
  13. 김지은, "COSET OF A HYPERCOMPLEX NUMBER SYSTEM IN CLIFFORD ANALYSIS", 대한수학회보, 52(5), pp.1721~1728 (2015), 대한수학회
  14. 김지은, "Properties of regular functions with values in bicomplex numbers", 대한수학회보, 53(2), pp.507~518 (2016), 대한수학회
  15. J. E. Kim, "Inverse Mapping Theory on Split Quaternions in Clifford Analysis", Filomat
  16. K. Nono, "Hyperholomorphic functions of a quaternion variable", Bull. Fukuoka Univ. Ed, 32, pp.21~37 (1983)
  17. E. Pennestr`ı, "Linear algebra and numerical algorithms using dual numbers", Multibody Syst. Dyn, 18(3), pp.323~344 (2007)
  18. J. Plucker, "On a new geometry of space", Phil. Trans. Roy. Soc. Lond, 155, pp.725~791 (1865)
  19. R. M. Porter, "Quaternionic linear and quadratic equations", J. Nat. Geom, 11(2), pp.101~106 (1997)
  20. E. Study, "Geometrie der Dynamen" (1903), Leipzig

관련 논문AI추천

DUAL QUATERNIONIC REGULAR FUNCTION OF DUAL QUATERNION VARIABLES김지은, 손광호한국수학교육학회 · 이론수학과 교직수학2016 · 제23권 제1호Characterization of a regular function with values in dual quaternions김지은, 손광호한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제1호Conic regular functions of conic quaternion variables in the sense of Clifford analysis김지은, 손광호영남수학회 · East Asian Mathematical Journal2015 · 제31권 제1호Relations of L-regular functions on quaternions in Clifford analysis강한울, 손광호영남수학회 · East Asian Mathematical Journal2015 · 제31권 제5호Characterizations of Functions on Dual Octonion Variables in Clifford Analysis손광호, 임수미영남수학회 · East Asian Mathematical Journal2014 · 제30권 제3호RELATIONS BETWEEN QUATERNIONIC DIFFERENTIAL AND THE CORRESPONDING CAUCHY RIEMANN SYSTEM강한울, 김민지, 손광호영남수학회 · East Asian Mathematical Journal2016 · 제32권 제3호

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