Even Hypergeometric Polynomials and Finite Free Commutators

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• ISSN: 1815-0659
• Main Authors: Campbell, Jacob, Morales, Rafael, Perales, Daniel
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/214191
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Even Hypergeometric Polynomials and Finite Free Commutators. Jacob Campbell, Rafael Morales and Daniel Perales. SIGMA 21 (2025), 108, 33 pages

We study in detail the class of even polynomials and their behavior with respect to finite free convolutions. To this end, we use some specific hypergeometric polynomials and a variation of the rectangular finite free convolution to understand even real-rooted polynomials in terms of positive-rooted...