On the Hausdorff Analyticity for Quaternion-Valued Functions

Luna-Elizarrarás, M. E. and Shapiro, M. and Шпакiвський, В. С. (2018) On the Hausdorff Analyticity for Quaternion-Valued Functions. Complex Analysis and Operator Theory. ISSN 1661-8254

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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 > Mathematical Analysis
Divisions: Faculty of Physics and Mathematics > Department of Mathematical Analysis, Business Analysis and Statistics
Depositing User: Ірина Ігорівна Таргонська
Date Deposited: 26 Feb 2019 09:21
Last Modified: 26 Feb 2019 09:24
URI: http://eprints.zu.edu.ua/id/eprint/28409

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