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Zeroes of slice monogenic functions
Yang Y.1,2; Qian T.1
2011-07-30
Source PublicationMathematical Methods in the Applied Sciences
ISSN01704214 10991476
Volume34Issue:11Pages:1398-1405
Abstract

In this article, we study the structure of zeroes of power series with Clifford algebra-valued coefficients. Especially, if it has paravector-valued coefficients, we obtain some sufficient and necessary conditions of power series that have zeroes, as well as a method to compute the zeroes if exist.

KeywordClifford Algebra Zero Sets
DOI10.1002/mma.1447
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000292553300009
Scopus ID2-s2.0-79959704372
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Document TypeJournal article
CollectionUniversity of Macau
Affiliation1.School of Mathematics and Computational Science, Sun Yat‐Sen University, Guangzhou, People's Republic of China
2.Department of Mathematics, Faculty of Science and Technology, University of Macau, Macau, People's Republic of China
First Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Yang Y.,Qian T.. Zeroes of slice monogenic functions[J]. Mathematical Methods in the Applied Sciences, 2011, 34(11), 1398-1405.
APA Yang Y.., & Qian T. (2011). Zeroes of slice monogenic functions. Mathematical Methods in the Applied Sciences, 34(11), 1398-1405.
MLA Yang Y.,et al."Zeroes of slice monogenic functions".Mathematical Methods in the Applied Sciences 34.11(2011):1398-1405.
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