期刊论文详细信息
Advances in Difference Equations | |
A corresponding Cullen-regularity for split-quaternionic-valued functions | |
Ji Eun Kim1  | |
[1] Department of Mathematics, Dongguk University, Gyeongju-si, Republic of Korea | |
关键词: split-quaternion; Cullenâs form; regular function; Cauchy-Riemann system; Clifford analysis; 32A99; 32W50; 30G35; 11E88; | |
DOI : 10.1186/s13662-017-1131-4 | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 摘 要 】
We give a representation of the class of Cullen-regular functions in split-quaternions. We consider each Cullen’s form of split-quaternions, which provides corresponding Cauchy-Riemann equations for split-quaternionic variables. Using Cullen’s form, we research hyperholomorphy and the properties of functions of split-quaternionic variables which are expressed by hyperbolic coordinates.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201901224744228ZK.pdf | 2456KB | download |