41 citations · 121 across the 22 of their papers we have counts for
Showing 2019Show all
2 papers · 1 filter
math.CA2019★ 2 cited
On the number of non-real zeroes of a homogeneous differential polynomial and a generalization of the Laguerre inequalities
Mikhail Tyaglov, Mohamed J. Atia
Given a real polynomial with only real zeroes, we find upper and lower bounds for the number of non-real zeroes of the differential polynomial $$ F_{\varkappa}[p](z):= p(z)p''(…
math.CA2019★ 1 cited
Hermite-Poulain theorems for linear finite difference operators
Olga Katkova, Mikhail Tyaglov, Anna Vishnyakova
We establish analogues of the Hermite-Poulain theorem for linear finite difference operators with constant coefficients defined on sets of polynomials with roots on a straight line…