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Title: | Singularities of the Newton Mapping and The Van Der Monde Determinant |
Authors: | Po De Wet |
Issue Date: | 2005 |
Publisher: | Bulletin of the Institute of Combinatorics and Its Applications |
Abstract: | The fact that complex polynomials can be written in two forms , k ITC(+ Zi) = e + a1(k-l + ... + ak , i=l can be used to define a mapping N(z) = a from C k to C k , known as the Newton mapping. It is clearly surj ective and turns out to have particularly useful properties regarding its symmetry, for example the analytic theorem of Newton- Let f (z1 , ... , zk) be an analytic function which is symmetric in z1 , . . . , zk, then there exists a unique analytic function g(a1, ... , ak ) such t hat f = goN. |
URI: | http://gnanaganga.inflibnet.ac.in:8080/jspui/handle/123456789/7641 |
Appears in Collections: | Articles to be qced |
Files in This Item:
File | Size | Format | |
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Singularities of the Newton mapping.pdf Restricted Access | 4.42 MB | Adobe PDF | View/Open Request a copy |
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