Planar Orthogonal Polynomials as Type I Multiple Orthogonal Polynomials

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2023
• Hauptverfasser: Berezin, Sergey, Kuijlaars, Arno B.J., Parra, Iván
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2023
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211864
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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...