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Properties of hyperholomorphic functions in Clifford analysis

손광호|임수진
영남수학회 (Youngnam Mathematical Society)|2012.11|East Asian Mathematical Journal|제28권 제5호|pp. 553-559|DOI http://dx.doi.org/10.7858/eamj.2012.040

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참고문헌

키워드

Clifford analysisHyperholomprphic functiondomains of hyperholomorphyquaternion.
주제분류수학

초록

The noncommutative extension of the complex numbers for the four dimensional real space is a quaternion. R. Fueter, C. A. Deav- ours and A. Subdery have developed a theory of quaternion analysis. M. Naser and K. Nono have given several results for integral formulas of hyperholomorphic functions in Clifford analysis. We research the properties of hyperholomorphic functions on C^2 × C^2.

Abstract

The noncommutative extension of the complex numbers for the four dimensional real space is a quaternion. R. Fueter, C. A. Deav- ours and A. Subdery have developed a theory of quaternion analysis. M. Naser and K. Nono have given several results for integral formulas of hyperholomorphic functions in Clifford analysis. We research the properties of hyperholomorphic functions on C^2 × C^2.

참고문헌 (11)

  1. F. Brackx, "On (k)-monogenic functions of a quaternion variable", Res. Notes in Math, 8, pp.22~44 (1976)
  2. F. Brackx, "Cli ord analysis", Res. Notes in Math, 76, pp.1~43 (1982)
  3. C. A . Deavours, "The quaternion calculus", Amer. Math. Monthly, 80, pp.995~1008 (1973)
  4. F. Gursey, "Complex and Quaternionic Analyticity in Chiral and Gauge Theories I", Ann. of Physics, 128, pp.29~130 (1980)
  5. J. Kajiwara, "Regeneration in Complex, Quaternion and Cli ord analysis", Proc. the 9th(2001) Internatioal Conf. on Finite or In nite Dimensional Complex Analysis and Applications, pp.287~298 (2004)
  6. M. Naser, "Hyperholomorphic functions", Silberian Math. J, 12, pp.959~968 (1971)
  7. K. Nono, "Hyperholomorphic functions of a quaternion variable", Bull. Fukuoka Univ. Ed, 32, pp.21~37 (1983)
  8. K. Nono, "Characterization of domains of holomorphy by the existence of hyper-conjugate harmonic functions", Rev. Roumaine Math. Pures Appl, 31(2), pp.159~161 (1986)
  9. K. Nono, "Domains of Hyperholomorphic in C2 C2", Bull. Fukuoka Univ. Ed, 36, pp.1~9 (1987)
  10. B. V. Shabat, (1969), Nauka
  11. A. Sudbery, "Quaternionic analysis", Math. Proc. Camb. Phil. Soc, 85, pp.199~225 (1979)

관련 논문AI추천

RELATIONS BETWEEN QUATERNIONIC DIFFERENTIAL AND THE CORRESPONDING CAUCHY RIEMANN SYSTEM강한울, 김민지, 손광호영남수학회 · East Asian Mathematical Journal2016 · 제32권 제3호Split hyperholomorphic function in Clifford analysis손광호, 임수진한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제1호Conic regular functions of conic quaternion variables in the sense of Clifford analysis김지은, 손광호영남수학회 · East Asian Mathematical Journal2015 · 제31권 제1호Characterizations of Functions on Dual Octonion Variables in Clifford Analysis손광호, 임수미영남수학회 · East Asian Mathematical Journal2014 · 제30권 제3호Hypermeromorphy of functions on split quaternions in Clifford analysis김지은, 손광호영남수학회 · East Asian Mathematical Journal2015 · 제31권 제5호Relations of L-regular functions on quaternions in Clifford analysis강한울, 손광호영남수학회 · East Asian Mathematical Journal2015 · 제31권 제5호

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