Linear finite difference operators with constant coefficients and distribution of zeros of polynomials

2018/07/05 by Olga Katkova, Katkova, Olga, Mikhail Tyaglov +3
Mathematics · #16C10 #26C10 #30C15 #30D15 #30D35 #Complex Variables (math.CV) #FOS: Mathematics #Mathematical functions and polynomials #Meromorphic and Entire Functions #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1807.01926

openalex publication_date 2018/07/05 · openalex created_date 2018/07/10 · openalex updated_date 2026/07/28

Abstract

We study the effect of finite difference operators of finite order on the distribution of zeros of polynomials and entire functions.

Citations

• Elements of Polya-Schur theory in finite difference setting

Related

• Linear q-difference, difference and differential operators preserving some A-entire functions
• Zero distribution of polynomials satisfying a differential-difference equation
• Hermite-Poulain theorems for linear finite difference operators
• Asymptotic distribution of zeros of polynomials satisfying difference equations
• On some questions of Fisk and Brändén