On monogenic mappings of a quaternionic variable
- Authors: Shpakivskyi V.S.1, Kuzmenko T.S.1
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Affiliations:
- Institute of Mathematics of the NAS of Ukraine
- Issue: Vol 221, No 5 (2017)
- Pages: 712-726
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239082
- DOI: https://doi.org/10.1007/s10958-017-3260-4
- ID: 239082
Cite item
Abstract
Earlier [1], a new class of quaternionic so-called G-monogenic (differentiable in the meaning of Gâteaux) mappings was considered. In the present paper, we introduce quaternionic H-monogenic (differentiable in the sense of Hausdorff) mappings and establish a relation between G- and H-monogenic mappings. The equivalence of different definitions of a G-monogenic mapping is proved.
About the authors
Vitalii S. Shpakivskyi
Institute of Mathematics of the NAS of Ukraine
Author for correspondence.
Email: shpakivskyi86@gmail.com
Ukraine, Kiev
Tat’yana S. Kuzmenko
Institute of Mathematics of the NAS of Ukraine
Email: shpakivskyi86@gmail.com
Ukraine, Kiev