본문 바로가기
KERD
논문KCI 등재

Hyper-conjugate harmonic function of conic regular functions in conic quaternions

김지은|손광호
영남수학회 (Youngnam Mathematical Society)|2015.01|East Asian Mathematical Journal|제31권 제1호|pp. 127-134|DOI http://dx.doi.org/10.7858/eamj.2015.013

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

conic quaternionCauchy-Riemann systemhyper-conjugate harmonic functionpseudoconvex domain
주제분류수학

초록

We give a rth conic regular functions with conic quaternion variables in C² and obtain a hyper-conjugate harmonic function of conic regular function in conic quaternions in the sense of Clifford analysis.

Abstract

We give a rth conic regular functions with conic quaternion variables in C² and obtain a hyper-conjugate harmonic function of conic regular function in conic quaternions in the sense of Clifford analysis.

참고문헌 (18)

  1. C. A . Deavours, "The quaternion calculus", Amer. Math. Monthly, 80, pp.995~1008 (1973)
  2. J. Kajiwara, "Regeneration in Complex, Quaternion and Clifford analysis", Proc. the 9th(2001) Internatioal Conf. on Finite or Infinite Dimensional Complex Analysis and Applications, Advances in Complex Analysis and Its Applications, 2, pp.287~298 (2004), Kluwer Academic Publishers (
  3. J. Kajiwara, "Function spaces in Complex and Clifford Analysis, Inhomogeneous Caychy Riemann system of quaternion and Clifford analysis in ellipsoid", Proc. the 14th Internatioal Conf. on Finite or Infinite Dimensional Complex Analysis and Applications, 14, pp.127~155 (2006)
  4. 김지은, "TAYLOR SERIES OF FUNCTIONS WITH VALUES IN DUAL QUATERNION", 순수 및 응용수학, 20(4), pp.251~258 (2013), 한국수학교육학회
  5. J. E. Kim, "Regular functions with values in ternary number system on the complex Clifford analysis", Abstr. Appl. Anal, pp.7~ (2013)
  6. J. E. Kim, "Regularity of functions on the reduced quaternion field in Clifford analysis", Abstr. Appl. Anal, 2014, pp.8~ (2014)
  7. J. E. Kim, "The Regularity of functions on Dual split quaternions in Clifford analysis", Abstr. Appl. Anal, 2014, pp.8~ (2014)
  8. H. Koriyama, "Hyperholomorphic Fucntions and Holomorphic Func-tions in Quaternionic Analysis", Bull. Fukuoka Univ. Education, 60(part III), pp.1~9 (2011)
  9. S. G. Krantz, "Function theory of several complex variables", AMS Providence, ~ (2001)
  10. S. J. Lim, "Hyperholomorphic fucntions and hyperconjugate harmonic functions of octonion variables", J. Inequal. Appl, 77, pp.1~8 (2013)
  11. S. J. Lim, "Dual quaternion functions and its applications", J. Appl. Math, pp.6~ (2013)
  12. C. Muses, "Hypernumbers and their Spaces: a Summary of New Findings", J. Study. Consciousness, 5, pp.251~256 (1972)
  13. C. Muses, "HypernumbersII. further concepts and computational applications", Appl. Math. Comput, 4, pp.45~66 (1978)
  14. M. Naser, "Hyperholomorphic functions", Siberian Math. J, 12, pp.959~968 (1971)
  15. K. Nono, "Hyperholomorphic functions of a quaternion variable", Bull. Fukuoka Univ. Ed, 32, pp.21~37 (1983)
  16. 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)
  17. K. Nono, "Domains of Hyperholomorphic in C2 C2", Bull. Fukuoka Univ. Ed, 36, pp.1~9 (1987)
  18. A. Sudbery, "Quaternionic analysis", Math. Proc. Camb. Phil. Soc., 85, pp.199~225 (1979)

관련 논문AI추천

Conic 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 제5호Hypermeromorphy of functions on split quaternions in Clifford analysis김지은, 손광호영남수학회 · East Asian Mathematical Journal2015 · 제31권 제5호A polar representation of a regularity of a dual quaternionic function in Clifford analysis김지은, 손광호대한수학회 · 대한수학회보2017 · 제54권 제2호DUAL QUATERNIONIC REGULAR FUNCTION OF DUAL QUATERNION VARIABLES김지은, 손광호한국수학교육학회 · 이론수학과 교직수학2016 · 제23권 제1호Characterizations of Functions on Dual Octonion Variables in Clifford Analysis손광호, 임수미영남수학회 · East Asian Mathematical Journal2014 · 제30권 제3호

이 간행물의 다른 논문 (13건)

CHARACTERIZATIONS OF HEMIRINGS BY (∈, ∈ Vq)-FUZZY IDEALSYasir Nawaz, Muhammad Shabir, Tahir Mahmoodpp. 1-18Periodicities of some additive cellular automata김재겸pp. 19-25Lightlike hypersurfaces of a Lorentz manifold with a semi-symmetric non-metric connection진대호pp. 27-32Lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection신종문pp. 33-40Certain integral representations of Generalized Stieltjes constants γk(a)신종문pp. 41-53
원문 보기