On Certain Wronskians of Multiple Orthogonal Polynomials

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2014
• Main Authors: Zhang, L., Filipuk, G.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146536
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Certain Wronskians of Multiple Orthogonal Polynomials/ L. Zhang, G. Filipuk // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 60 назв. — англ.

We consider determinants of Wronskian type whose entries are multiple orthogonal polynomials associated with a path connecting two multi-indices. By assuming that the weight functions form an algebraic Chebyshev (AT) system, we show that the polynomials represented by the Wronskians keep a constant...