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Zeroes of slice monogenic functions

✍ Scribed by Yan Yang; Tao Qian

Publisher: John Wiley and Sons
Year: 2011
Tongue: English
Weight: 134 KB
Volume: 34
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1447

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✦ Synopsis

Communicated by W. Sprößig

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.

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