An analog of the Men’shov – Trokhimchuk theorem for monogenic functions in a three-dimensional commutative algebra
UDC 517.54 The aim of this work is to weaken the conditions of monogeneity for functions that take values in a given three-dimensional commutative algebra over the field of complex numbers. The monogeneity of the function is understood as a combination of its continuity and the existence of the Gate...
Gespeichert in:
| Datum: | 2021 |
|---|---|
| Hauptverfasser: | , , , , |
| Format: | Artikel |
| Sprache: | Ukrainisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2021
|
| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/6658 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | UDC 517.54
The aim of this work is to weaken the conditions of monogeneity for functions that take values in a given three-dimensional commutative algebra over the field of complex numbers. The monogeneity of the function is understood as a combination of its continuity and the existence of the Gateaux derivative. |
|---|---|
| DOI: | 10.37863/umzh.v73i8.6658 |