Planar Orthogonal Polynomials as Type I Multiple Orthogonal Polynomials

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• Main Authors: Berezin, Sergey, Kuijlaars, Arno B.J., Parra, Iván
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211864
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Planar Orthogonal Polynomials as Type I Multiple Orthogonal Polynomials. Sergey Berezin, Arno B.J. Kuijlaars and Iván Parra. SIGMA 19 (2023), 020, 18 pages

A recent result of S.-Y. Lee and M. Yang state that the planar orthogonal polynomials orthogonal with respect to a modified Gaussian measure are multiple orthogonal polynomials of type II on a contour in the complex plane. We show that the same polynomials are also type I orthogonal polynomials on a...