논문KCI 등재
REGULAR FUNCTIONS FOR DIFFERENT KINDS OF CONJUGATIONS IN THE BICOMPLEX NUMBER FIELD
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In this paper, using three types of conjugations in a bicomplex number filed T, we provide some basic definitions of bicomplex number and definitions of regular functions for each differential operators. And we investigate the corresponding Cauchy-Riemann systems and the corresponding Cauchy theorems in T in Clifford analysis.
Abstract
In this paper, using three types of conjugations in a bicomplex number filed T, we provide some basic definitions of bicomplex number and definitions of regular functions for each differential operators. And we investigate the corresponding Cauchy-Riemann systems and the corresponding Cauchy theorems in T in Clifford analysis.
참고문헌 (9)
- 정현숙, "FUNCTIONS AND DIFFERENTIAL OPERATORS IN THE DUAL REDUCED QUATERNION FIELD", East Asian Mathematical Journal, 29(3), pp.293~302 (2013), 영남수학회[DOI]
- 강한울, "Relations of L-regular functions on quaternions in Clifford analysis", East Asian Mathematical Journal, 31(5), pp.667~675 (2015), 영남수학회[DOI]
- J. E. Kim, "Properties of Regular Functions with Values in Bicomplex Numbers", Bull. Korean Math. Soc.
- 임수진, "Properties of hyperholomorphic functions in Clifford analysis", East Asian Mathematical Journal, 28(5), pp.553~559 (2012), 영남수학회[DOI]
- S. J. Lim, "Dual Quaternion Functions and Its Applications", J. of Applied Mathematics, pp.6~ (2013)
- S. J. Lim, "Hyperholomorphic Functions and Hyper-conjugate Harmonic Functions of Octonion Variables", J. of Inequalities and Applications, 77, pp.8~ (2013)
- M. E. Luna-Elizarraras, "Bicomplex Numbers and their Elementary Functions", CUBO A Mathematical J., 14, pp.61~80 (2012)
- M. Naser, "Hyperholomorphic functions", Siberian Math. J., 12, pp.959~968 (1971)
- D. Rochon, "On Algebraic Properties of Bicomplex and Hyperbolic Numbers", Anal. Univ. Oradea, pp.28~ (2004)
관련 논문AI추천
Properties of regular functions with values in bicomplex numbers김지은, 손광호대한수학회 · 대한수학회보2016 · 제53권 제2호Relations of L-regular functions on quaternions in Clifford analysis강한울, 손광호영남수학회 · East Asian Mathematical Journal2015 · 제31권 제5호CHARACTERIZATIONS OF SEVERAL SPLIT REGULAR FUNCTIONS ON SPLIT QUATERNION IN CLIFFORD ANALYSIS강한울, 손광호, 조정영영남수학회 · East Asian Mathematical Journal2017 · 제33권 제3호RELATIONS BETWEEN QUATERNIONIC DIFFERENTIAL AND THE CORRESPONDING CAUCHY RIEMANN SYSTEM강한울, 김민지, 손광호영남수학회 · East Asian Mathematical Journal2016 · 제32권 제3호Hyper-conjugate harmonic function of conic regular functions in conic quaternions김지은, 손광호영남수학회 · East Asian Mathematical Journal2015 · 제31권 제1호DUAL QUATERNIONIC REGULAR FUNCTION OF DUAL QUATERNION VARIABLES김지은, 손광호한국수학교육학회 · 이론수학과 교직수학2016 · 제23권 제1호
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