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http://dx.doi.org/10.7858/eamj.2015.045

HYPERMEROMORPHY OF FUNCTIONS ON SPLIT QUATERNIONS IN CLIFFORD ANALYSIS  

KIM, JI EUN (DEPARTMENT OF MATHEMATICS, PUSAN NATIONAL UNIVERSITY)
SHON, KWANG HO (DEPARTMENT OF MATHEMATICS, PUSAN NATIONAL UNIVERSITY)
Publication Information
East Asian mathematical journal / v.31, no.5, 2015 , pp. 653-658 More about this Journal
Abstract
In this paper, we consider split quaternionic functions defined on an open set of split quaternions and give the split quaternionic functions whose each inverse function is sp-hyperholomorphic almost everywhere on ${\Omega}$. Also, we describe the definitions and notions of pseudoholomorphic functions for split quaternions.
Keywords
split quaternion; pseudoholomorphic function; Cauchy-Riemann system; hypermeromorphic function; Clifford analysis;
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Times Cited By KSCI : 1  (Citation Analysis)
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