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 algebra H of Hamilton’s quaternions. The main aim of the work is to compare them with the well-known classes of H-valued functions which have their own definitions of the derivative.
Original language | English |
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Pages (from-to) | 2863-2880 |
Number of pages | 18 |
Journal | Complex Analysis and Operator Theory |
Volume | 13 |
Issue number | 6 |
DOIs | |
State | Published - 1 Sep 2019 |
Externally published | Yes |
Keywords
- Hausdorff derivative
- Quaternionic hyperholomorphic functions
- Quaternionic slice regular functions
- Quaternions