On a generalization of Fueter's theorem

Authors
Sommen, F
Citation
F. Sommen, On a generalization of Fueter's theorem, Z ANAL ANWE, 19(4), 2000, pp. 899-902
Citations number
7
Categorie Soggetti
Mathematics
Journal title
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN
ISSN journal
02322064 → ACNP
Volume
19
Issue
4
Year of publication
2000
Pages
899 - 902
Database
ISI
SICI code
0232-2064(2000)19:4<899:OAGOFT>2.0.ZU;2-C
Abstract
In this paper we discuss a generalization of Fueter's theorem which states that whenever f(x(o),(x) under bar) is holomorphic in x(o) + (x) under bar, then it satisfies D square f = 0, D = partial derivative (xo) + i partial derivative (x1) + j partial derivative (x2) + k partial derivative (x3) bei ng the Fueter operator.