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Zeroes of slice monogenic functions
Author(s) -
Yang Yan,
Qian Tao
Publication year - 2011
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1447
Subject(s) - mathematics , power series , series (stratigraphy) , algebra over a field , power (physics) , pure mathematics , mathematical analysis , paleontology , physics , quantum mechanics , biology
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. Copyright 2011 John Wiley & Sons, Ltd.