http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
오늘 본 자료
RELATIONS BETWEEN QUATERNIONIC DIFFERENTIAL AND THE CORRESPONDING CAUCHY RIEMANN SYSTEM
강한울,김민지,손광호 영남수학회 2016 East Asian mathematical journal Vol.32 No.3
In this paper, we investigate several properties of quaternionicfunctions. We research some differentials of quaternionic functions, andrelations between the differentials and the corresponding Cauchy Riemannsystem in Clifford analysis.
Several properties of Quaternionic regular functions in Clifford Analysis
강한울,손광호,김민지 호남수학회 2015 호남수학학술지 Vol.37 No.4
In this paper, we research some properties of quaternionic regular functions in Clifford analysis. We investigate the corresponding Cauchy-Riemann system and find regularities of some hypercomplex valued functions.
Differentials of the bicomplex functions for each conjugations by the naive approach
강한울,김민지,손광호 호남수학회 2017 호남수학학술지 Vol.39 No.2
In this paper, we aim to compare the differentials with the regularity of the hypercomplex valued functions in Clifford analysis. For three kinds of conjugation of the bicomplex numbers, we define the differentials of the bicomplex number functions by the naive approach. And we investigate some relations of the corresponding Cauchy-Riemann system and the conditions of the differentiable functions in the bicomplex number system.
Derivatives for the linearity of ternary number valued functions
강한울,이광호,손광호 호남수학회 2016 호남수학학술지 Vol.38 No.4
The aim of this paper is to investigate the differentials of the hypercomplex valued functions in Clifford analysis. Like as the differentials defined by the na\"{\i}ve approach in one complex variable analysis, we define the differentials of functions with values in ternary number functions by same ways. And we survey the properties of each differential with respect to a non-commutativity of the skew field.
REGULAR FUNCTIONS FOR DIFFERENT KINDS OF CONJUGATIONS IN THE BICOMPLEX NUMBER FIELD
강한울,정상수,손광호 영남수학회 2016 East Asian mathematical journal Vol.32 No.5
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.
CHARACTERIZATIONS OF SEVERAL SPLIT REGULAR FUNCTIONS ON SPLIT QUATERNION IN CLIFFORD ANALYSIS
강한울,조정영,손광호 영남수학회 2017 East Asian mathematical journal Vol.33 No.3
In this paper, we investigate the regularities of the hyper- complex valued functions of the split quaternion variables. We define several differential operators for the split qunaternionic function. We re- search several left split regular functions for each differential operators. We also investigate split harmonic functions. And we find the correspond- ing Cauchy-Riemann system and the corresponding Cauchy theorem for each regular functions on the split quaternion field.
Relations of L-regular functions on quaternions in Clifford analysis
강한울,손광호 영남수학회 2015 East Asian mathematical journal Vol.31 No.5
In this paper, we provide some properties of several left regular functions in Clifford analysis. We find the corresponding Cauchy-Riemann system and conjugate harmonic functions of the harmonic functions, for each left regular function in the sense of several complex variables. And we investigate certain properties of generalized quaternions in Clifford analysis.