On the real roots of Euler polynomials
โ Scribed by Hubert Delange
- Publisher
- Springer Vienna
- Year
- 1988
- Tongue
- English
- Weight
- 864 KB
- Volume
- 106
- Category
- Article
- ISSN
- 0026-9255
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The fact that a real univariate polynomial misses some real roots is usually overcome by considering complex roots, but the price to pay for, is a complete loss of the sign structure that a set of real roots is endowed with (mutual position on the line, signs of the derivatives, etc.). In this paper
An explicit criterion for the determination of the numbers and multiplicities of the real/imaginary roots for polynomials with symbolic coefficients is based on a Complete Discrimination System (CDS). A CDS is a set of explicit expressions in terms of the coefficients that are sufficient for determi
It is proved that the chromatic polynomial of a connected graph with n vertices and m edges has a root with modulus at least (m&1)ร(n&2); this bound is best possible for trees and 2-trees (only). It is also proved that the chromatic polynomial of a graph with few triangles that is not a forest has a