Extended Laguerre inequalities and a criterion for real zeros

Details Extended Laguerre inequalities and a criterion for real zeros Extended Laguerre inequalities and a criterion for real zeros

2009-11-05

arxiv.org/abs/0911.1122v1

Mathematics

Complex Variables

The paper is based on a talk given at the 7th ISAAC Congress held at Imperial College in London in July 2009

Scientific paper

Let $f(z)=e^{-bz^2}f_1(z)$ where $b \geq 0$ and $f_1(z)$ is a real entire
function of genus 0 or 1. We give a necessary and sufficient condition in terms
of a sequence of inequalities for all of the zeros of $f(z)$ to be real. These
inequalities are an extension of the classical Laguerre inequalities.

Affiliated with

Also associated with

No associations

Rating

Extended Laguerre inequalities and a criterion for real zeros does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Extended Laguerre inequalities and a criterion for real zeros, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Extended Laguerre inequalities and a criterion for real zeros will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-390294