A family of palindromic polynomials

T. Amdeberhan; V. H. Moll; V. G. Papanicolau

doi:10.71712/

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Published: 2025-08-08

DOI: https://doi.org/10.71712/

Keywords:

Polynomials, zeros, unimodular zero, logconcavit

T. Amdeberhan

Department of Mathematics, Tulane University, New Orleans, LA 70118 U.S.A

V. H. Moll

Department of Mathematics, Tulane University, New Orleans, LA 70118 U.S.A

V. G. Papanicolau

Department of Mathematics, National Technical University of Athens, Zografu Campus, 157 80, Athens, Greece

Abstract

The roots of a polynomial coming from a nonselfadjoint boundary value problem are described. The polynomial has palindromic coefficients and it depends on a single parameter. The structure of the roots as a function of this parameter is given.

Issue

Vol. 24 (2013)

Section

Articles

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

T. Amdeberhan, V. H. Moll, & V. G. Papanicolau. (2025). A family of palindromic polynomials. Scientia Series A: Mathematical Sciences, 24, 25-32. https://doi.org/10.71712/