Hermite-Poulain theorems for linear finite difference operators

DOI10.1007/s00365-020-09507-0zbMath1475.30024arXiv1901.06398OpenAlexW3025867650MaRDI QIDQ2216652

Olga M. Katkova, Mikhail Tyaglov, Anna M. Vishnyakova

Publication date: 16 December 2020

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

Full work available at URL: https://arxiv.org/abs/1901.06398

zbMATH Keywords

finite difference operatorsLaguerre-Pólya classhyperbolic polynomialshyperbolicity-preserving linear operators

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (1)

Linear 𝑞-difference, difference and differential operators preserving some 𝒜-entire functions

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