Elements of Polya-Schur theory in finite difference setting

Details Elements of Polya-Schur theory in finite difference setting Elements of Polya-Schur theory in finite difference setting

2012-04-13

arxiv.org/abs/1204.2963v1

Mathematics

Classical Analysis and ODEs

14 pages, 2 figures

Scientific paper

In this note we attempt to develop an analog of P\'olya-Schur theory describing the class of univariate hyperbolicity preservers in the setting of linear finite difference operators. We study the class of linear finite difference operators preserving the set of real-rooted polynomials whose mesh (i.e. the minimal distance between the roots) is at least one. In particular, finite difference versions of the classical Hermite-Poulain theorem and generalized Laguerre inequalities are obtained.

Affiliated with

Also associated with

No associations

Rating

Elements of Polya-Schur theory in finite difference setting 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 Elements of Polya-Schur theory in finite difference setting, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Elements of Polya-Schur theory in finite difference setting will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-143979