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Generalizations of Fueter’s Theorem
K.I. Kou1; T. Qian1; F. Sommen2
2002-06
Source PublicationMETHODS AND APPLICATIONS OF ANALYSIS
ISSN1073-2772
Volume9Issue:2Pages:273–290
Abstract

In relation to the solution of the Vekua system for axial type monogenic functions, generalizations of Fueter’s Theorem are discussed. We show that if f is a holomorphic function in one complex variable, then for any underlying space Rn1 the induced function ∆k+(n−1)/2f(x0 +x)Pk(x), where Pk(x) is left-monogenic and homogeneous of degree k, is left-monogenic whenever k+(n−1)/2 is a non-negative integer. If the space dimension n + 1 is odd, then the above also holds for k being non-negative integers.

DOIhttp://dx.doi.org/10.4310/MAA.2002.v9.n2.a5
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Language英語English
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Document TypeJournal article
CollectionFaculty of Science and Technology
DEPARTMENT OF MATHEMATICS
Corresponding AuthorT. Qian; F. Sommen
Affiliation1.Faculty of Science and Technology, University of Macau, P. O. Box 3001 Macau
2.Department of Mathematical Analysis, University of Ghent, B-9000 Gent, Belgium
First Author AffilicationFaculty of Science and Technology
Corresponding Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
K.I. Kou,T. Qian,F. Sommen. Generalizations of Fueter’s Theorem[J]. METHODS AND APPLICATIONS OF ANALYSIS,2002,9(2):273–290.
APA K.I. Kou,T. Qian,&F. Sommen.(2002).Generalizations of Fueter’s Theorem.METHODS AND APPLICATIONS OF ANALYSIS,9(2),273–290.
MLA K.I. Kou,et al."Generalizations of Fueter’s Theorem".METHODS AND APPLICATIONS OF ANALYSIS 9.2(2002):273–290.
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