Article
2022
·
4 citations
AN OVERVIEW TO ANALYTICITY OF DUAL FUNCTIONS
Abstract
In this paper, the analyticity conditions of dual functions are clearly examined and the properties of the concept derivative are given in detail. Then, using the dual order relation, the dual analytic regions of dual analytic functions are constructed such that a collection of these regions forms a basis on Dn. Finally, the equivalent of the inverse function theorem in dual space is given by a theorem and proved.
Keywords
Dual numbers
topology
dual analytic functions
TOPOLOGY
WoS Categories
Mathematics
Citation
- Journal
- COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
- Year
- 2022
- Volume
- 71
- Issue
- 4
- Pages
- 1095-1120
- ISSN
- 1303-5991
- DOI
- 10.31801/cfsuasmas.1035344
- WoS UID
- WOS:000913394100016