Generating Polynomials All of Whose Roots Are Real

DOI10.2307/2690835zbMath0786.26010OpenAlexW4256526445MaRDI QIDQ4009606

G. G. Bilodeau

Publication date: 27 September 1992

Full work available at URL: https://doi.org/10.2307/2690835

zbMATH Keywords

orthogonal polynomialsRodrigues formulaRolle's theorempolynomials with real rootsRodrigues representations

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Real polynomials: location of zeros (26C10)

Related Items (1)

Matrix-theoretical derivations of some results of Borcea-Shapiro on hyperbolic polynomials

This page was built for publication: Generating Polynomials All of Whose Roots Are Real