Recent developments in the Jensen–Pólya program

Koustav Banerjee; Kathrin Bringmann; Larry Rolen

Recent developments in the Jensen–Pólya program

Authors

Koustav Banerjee University of Cologne
Kathrin Bringmann University of Cologne https://orcid.org/0000-0001-7126-1409
Larry Rolen Vanderbilt University https://orcid.org/0000-0001-8671-8117

Keywords:

Hyperbolic Polynomials, Integers Partitions, Jensen Polynomials, Laguerre Inequalities

Abstract

In this paper, we give an overview of the Jensen–Pólya program and progress on related inequalities for interesting sequences. In addition, we present problems related to hyperbolicity of partition Jensen polynomials and a large class of inequalities which include generalizations of log-concavity (e.g. Laguerre inequalities, infinite log-concavity).

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Published

2026-04-11

How to Cite

Banerjee, K., Bringmann, K., & Rolen, L. (2026). Recent developments in the Jensen–Pólya program. Journal of Open Mathematical Problems, 2(1), 53–69. Retrieved from https://jomprob.org/index.php/jomp/article/view/Vol-2Issue-1Paper-2