๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the Imaginary Roots of a Polynomial and the Real Roots of Its Derivative

โœ Scribed by Henry Bedinger Mitchell


Book ID
123945199
Publisher
American Mathematical Society
Year
1918
Tongue
English
Weight
590 KB
Volume
19
Category
Article
ISSN
0002-9947

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


On arrangements of roots for a real hype
โœ Vladimir Petrov Kostov; Boris Zalmanovich Shapiro ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ French โš– 173 KB

In this paper we count the number (0,k) n , k n -1, of connected components in the space โˆ† (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