[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7858/eamj.2013.020

FUNCTIONS AND DIFFERENTIAL OPERATORS IN THE DUAL REDUCED QUATERNION FIELD

Jung, Hyun Sook (Department of Mathematics, Pusan National University)
Shon, Kwang Ho (Department of Mathematics, Pusan National University)

Publication Information

East Asian mathematical journal / v.29, no.3, 2013 , pp. 293-302 More about this Journal

Abstract

We research properties of ternary numbers and hyperholomorphic functions with values in $\mathbb{C}$ (2). We represent reduced quaternion numbers and obtain some propertries in dual reduced quaternion systems in view of Clifford analysis. Moreover, we obtain Cauchy theorems with respect to dual reduced quaternions.

Keywords

Hyperholomorphic function; ternary number; dual number system; the reduced quaternion number; Clifford analysis; differential equation;

Citations & Related Records

Times Cited By KSCI : 2 (Citation Analysis)

Reference
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