Luna-Elizarrarás M. E., Shapiro M. and Шпаківський В. С. (2018) On the Hausdorff Analyticity for Quaternion-Valued Functions. Complex Analysis and Operator Theory. ISSN 1661-8254.
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Abstract
We consider the concept of the Hausdorff analyticity for functions ranged in real
algebras and the corresponding notion of the Hausdorff derivative. Both apply to the
real algebraHof Hamilton’s quaternions. The main aim of thework is to compare them
with the well-known classes of H-valued functions which have their own definitions
of the derivative.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Hausdorff derivative · Quaternions · Quaternionic hyperholomorphic functions · Quaternionic slice regular functions |
| Subjects: | Q Science > QA Mathematics > QA77 Mathematical Analysis |
| Divisions: | Faculty of Physics and Mathematics > Department of Mathematical Analysis, Business Analytics and Statistics |
| Depositing User: | Ірина Ігорівна Таргонська |
| Date Deposited: | 26 Feb 2019 11:21 |
| Last Modified: | 26 Feb 2019 11:24 |
| URI: | https://eprints.zu.edu.ua/id/eprint/28409 |
| ДСТУ 8302:2015: | Luna-Elizarrarás M. E. and Shapiro M. and Шпаківський В. С. On the Hausdorff Analyticity for Quaternion-Valued Functions. Complex Analysis and Operator Theory. 2018. |
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