DISCRETE ANALOGUES OF THE LAGUERRE INEQUALITY

DOI10.1142/S0219530503000120zbMath1064.26010arXivmath/0204098MaRDI QIDQ4474588

Ilia Krasikov

Publication date: 12 July 2004

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0204098

zbMATH Keywords

Laguerre-Pólya classKrawtchouk polynomialsdiscrete orthogonal polynomialsreal entire functionsgeneralized Laguerre inequality

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Other special orthogonal polynomials and functions (33C47) Inequalities for trigonometric functions and polynomials (26D05) Real-analytic functions (26E05)

Related Items (4)

Asymptotic expansion of the Krawtchouk polynomials and their zeros ⋮ On extreme zeros of classical orthogonal polynomials ⋮ On zeros of discrete orthogonal polynomials ⋮ Elements of Pólya-Schur theory in the finite difference setting

Uses Software

• Mathematica

Cites Work

• Zeros of generalized Krawtchouk polynomials
• Jensen polynomials and the Turán and Laguerre inequalities
• Necessary and sufficient conditions and the Riemann hypothesis
• Classical orthogonal polynomials of a discrete variable and representations of the three-dimensional rotation group
• On a class of nonlinear differential operators acting on polynomials
• Strong asymptotics for Krawtchouk polynomials
• A uniform asymptotic expansion for Krawtchouk polynomials
• Inequalities for real-root polynomials and entire functions
• Extensions of inequalities of the Laguerre and Turan type
• Explicit Bounds for Hermite Polynomials in the Oscillatory Region
• Some Inequalities Concerning Jacobi Polynomials
• Nonnegative quadratic forms and bounds on orthogonal polynomials

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