Interlacing properties of coefficient polynomials in differential operator representations of real-root preserving linear transformations

DOI10.1007/s00365-022-09581-6OpenAlexW2998549764WikidataQ114229756 ScholiaQ114229756MaRDI QIDQ2699025

Jason C. White, David A. Cardon, Evan Sorensen

Publication date: 26 April 2023

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.13055

zbMATH Keywords

orthogonal polynomialsinterlacinghyperbolic polynomialsstable polynomialstransformations preserving real-rootedness

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Real polynomials: location of zeros (26C10)

Uses Software

• DLMF

Cites Work

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• Polynomial solutions of differential-difference equations
• Differential operators and entire functions with simple real zeros
• Hermite multiplier sequences and their associated operators
• Pólya-Schur master theorems for circular domains and their boundaries
• Zeros of expansions in orthogonal polynomials
• The Relation of the Classical Orthogonal Polynomials to the Polynomials of Appell

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