Analytic Properties of the Quaternion Function

Youcai Xue

Modern Applied Science, 2010, vol. 4, issue 10, 62

Abstract: Many properties of complex functions are pretty difficult to be generalized in the field of quaternion function, as the commutative law of multiplication fails in the latter. The derivative of quaternion function is defined in this paper. Moreover, by the similar method in judging the analytic property of complex function, Cauchy-Riemann equation is used to determine the analytic property of quaternion function. Furthermore, several concrete examples are discussed, and certain errors in (P. W. Yang. 2009) are pointed out as well.

Date: 2010
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://ccsenet.org/journal/index.php/mas/article/download/7637/5838 (application/pdf)
https://ccsenet.org/journal/index.php/mas/article/view/7637 (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:ibn:masjnl:v:4:y:2010:i:10:p:62

Access Statistics for this article

More articles in Modern Applied Science from Canadian Center of Science and Education Contact information at EDIRC.
Bibliographic data for series maintained by Canadian Center of Science and Education ().