Geodesic
Polynomials with all zeros real and in a prescribed interval
Journal of Algebraic Combinatorics, Tome 16 (2002) no. 3, pp. 231-237.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We provide a characterization of the real-valued univariate polynomials that have only real zeros, all in a prescribed interval $[ a,b]$. The conditions are stated in terms of positive semidefiniteness of related Hankel matrices.
Keywords: algebraic combinatorics, real algebraic geometry, the $\mathbb K$ mathbbk -moment problem 
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     title = {Polynomials with all zeros real and in a prescribed interval},
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Lasserre, Jean B. Polynomials with all zeros real and in a prescribed interval. Journal of Algebraic Combinatorics, Tome 16 (2002) no. 3, pp. 231-237. http://geodesic.mathdoc.fr/item/JAC_2002__16_3_a3/