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http://dx.doi.org/10.7858/eamj.2016.044

REGULAR FUNCTIONS FOR DIFFERENT KINDS OF CONJUGATIONS IN THE BICOMPLEX NUMBER FIELD  

Kang, Han Ul (Department of Mathematics, Pusan National University)
Jung, Sangsu (Department of Mathematics, Pusan National University)
Shon, Kwang Ho (Department of Mathematics, Pusan National University)
Publication Information
East Asian mathematical journal / v.32, no.5, 2016 , pp. 641-649 More about this Journal
Abstract
In this paper, using three types of conjugations in a bicomplex number filed $\mathcal{T}$, 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 $\mathcal{T}$ in Clifford analysis.
Keywords
Clifford analysis; bicomplex number; bicomplex conjugation; bicomplex differential operators; corresponding Cauchy-Riemann system; corresponding Cauchy theorem;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
연도 인용수 순위
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