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DUAL QUATERNIONIC REGULAR FUNCTION OF DUAL QUATERNION VARIABLES

김지은|손광호
한국수학교육학회|2016.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제23권 제1호|pp. 97-104

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참고문헌

키워드

quaternionregular functiondual numberdifferentiableClifford analysis.
주제분류수학

초록

We give representations of differential operators and rules for addition and multiplication of dual quaternions. Also, we research the notions and properties of a regular function and a corresponding harmonic function with values in dual quaternions of Clifford analysis.

Abstract

We give representations of differential operators and rules for addition and multiplication of dual quaternions. Also, we research the notions and properties of a regular function and a corresponding harmonic function with values in dual quaternions of Clifford analysis.

참고문헌 (17)

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  3. T. Ferdinands, "A Beckman-quarles type theorem for laguerre transforma-tions in the dual plane", RHIT Undergrad. Math. J, 10(1) (2009)
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  5. R. Fueter, "ÄUber die analytische Darstellung der regulÄaren Funktionen einer Quaternio-nenvariablen", Comment. math. Helv, 8, pp.371~378 (1936)
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  9. J. Kajiwara, "Function spaces in complex and Cli®ord analysis, Inhomogeneous Cauchy Rie-mann system of quaternion and Cli®ord analysis in ellipsoid", Proc. the 14th Inter-national Conf. on Finite or Innite Dimensional Complex Analysis and Applications, 14, pp.127~155 (2006), National Univ. Pub
  10. J.E. Kim, "Regular functions with values in ternary number system on the complex Cli®ord analysis", Abstr. Appl. Anal, 2013 (2013)
  11. J.E. Kim, "Regularity of functions on the reduced quaternioneld in Cli®ord analysis", Abstr. Appl. Anal, 2014 (2014)
  12. J.E. Kim, "Polar Coordinate Expression of Hyperholomorphic Functions on Split Quaternions in Cli®ord Analysis", Adv. Appl. Cli®ord Alg, 25(4), pp.915~924 (2015)
  13. J.E. Kim, "The Regularity of functions on Dual split quaternions in Cli®ord analysis", Abstr. Appl. Anal, 2014 (2014)
  14. 김지은, "COSET OF A HYPERCOMPLEX NUMBER SYSTEM IN CLIFFORD ANALYSIS", 대한수학회보, 52(5), pp.1721~1728 (2015), 대한수학회
  15. A. Sudbery, "Quaternionic Analysis", Math. Proc. Cambridge Philos. Soc, 85, pp.199~225 (1979)
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관련 논문AI추천

A polar representation of a regularity of a dual quaternionic function in Clifford analysis김지은, 손광호대한수학회 · 대한수학회보2017 · 제54권 제2호Characterization of a regular function with values in dual quaternions김지은, 손광호한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제1호Relations of L-regular functions on quaternions in Clifford analysis강한울, 손광호영남수학회 · East Asian Mathematical Journal2015 · 제31권 제5호FUNCTIONS AND DIFFERENTIAL OPERATORS IN THE DUAL REDUCED QUATERNION FIELD손광호, 정현숙영남수학회 · East Asian Mathematical Journal2013 · 제29권 제3호Characterizations of Functions on Dual Octonion Variables in Clifford Analysis손광호, 임수미영남수학회 · East Asian Mathematical Journal2014 · 제30권 제3호Properties of regular functions with values in bicomplex numbers김지은, 손광호대한수학회 · 대한수학회보2016 · 제53권 제2호

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