Inequalities for real-root polynomials and entire functions

DOI10.1016/S0196-8858(02)00005-2zbMath1018.33007OpenAlexW2007453171MaRDI QIDQ1865254

William H. Foster, Ilia Krasikov

Publication date: 26 March 2003

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0196-8858(02)00005-2

zbMATH Keywords

Laguerre-type inequalities

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)

Related Items (12)

Sharp bounds for the extreme zeros of classical orthogonal polynomials ⋮ Laguerre inequalities for discrete sequences ⋮ On the extreme zeros of Jacobi polynomials ⋮ Introducing isodynamic points for binary forms and their ratios ⋮ Zeros of Orthogonal Polynomials ⋮ Nonnegative quadratic forms and bounds on orthogonal polynomials ⋮ Reconstruction of matrices from submatrices ⋮ Non-representable hyperbolic matroids ⋮ Lower and upper bounds for canonical products ⋮ Unnamed Item ⋮ Elements of Pólya-Schur theory in the finite difference setting ⋮ DISCRETE ANALOGUES OF THE LAGUERRE INEQUALITY

Cites Work

• Jensen polynomials and the Turán and Laguerre inequalities
• Necessary and sufficient conditions and the Riemann hypothesis
• On a class of nonlinear differential operators acting on polynomials
• Bounds for orthogonal polynomials for exponential weights
• Improving the asymptotics for the greatest zeros of Hermite polynomials
• Extensions of inequalities of the Laguerre and Turan type
• Explicit Bounds for Hermite Polynomials in the Oscillatory Region
• Generalized Jacobi Weights, Christoffel Functions, and Jacobi Polynomials
• Some Inequalities Concerning Jacobi Polynomials
• Nonnegative quadratic forms and bounds on orthogonal polynomials
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