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The Number of Distinct Roots of a Polynomial and its Derivatives

✍ Scribed by Sudbery, A.


Book ID
120094475
Publisher
Oxford University Press
Year
1973
Tongue
English
Weight
96 KB
Volume
5
Category
Article
ISSN
0024-6093

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πŸ“œ SIMILAR VOLUMES


On arrangements of roots for a real hype
✍ Vladimir Petrov Kostov; Boris Zalmanovich Shapiro πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 French βš– 173 KB

In this paper we count the number (0,k) n , k n -1, of connected components in the space βˆ† (0,k) n of all real degree n polynomials which a) have all their roots real and simple; and b) have no common root with their kth derivatives. In this case, we show that the only restriction on the arrangement