-Hypergeometric Orthogonal Polynomials with = −1

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Author: Verde-Star, Luis
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/214203
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: -Hypergeometric Orthogonal Polynomials with = −1. Luis Verde-Star. SIGMA 21 (2025), 083, 19 pages

We obtain some properties of a class of -hypergeometric orthogonal polynomials with = −1, described by a uniform parametrization of the recurrence coefficients. We construct a class of complementary −1 polynomials by means of the Darboux transformation with a shift. We show that our classes conta...