The present paper is a continuation of our paper [4]. The problem to be studied is the non-impact of algebraic property on the convergence properties of the μ-th root base of special monogenic polynomials. These convergence properties are the investigation of the relation between the effectiveness in closed balls of a given base and that of its μ-th root base, and also the relation between their rate of increase. Our result which is concerned with effectiveness in closed balls is quite different from its corresponding one for the square root case in complex settings.
The μ-th root base of non-algebraic simple base of polynomials in Clifford setting
9TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2012 ; 2012 ; Vienna, Austria
AIP Conference Proceedings ; 1493 , 1 ; 7-12
06.11.2012
6 pages
Aufsatz (Konferenz)
Elektronische Ressource
Englisch
The μ-th root base of non-algebraic simple base of polynomials in Clifford setting
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