The Expansion of Wronskian Hermite Polynomials in the Hermite Basis

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• ISSN: 1815-0659
• Main Authors: Grosu, Codruţ, Grosu, Corina
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211185
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Expansion of Wronskian Hermite Polynomials in the Hermite Basis. Codruţ Grosu and Corina Grosu. SIGMA 17 (2021), 003, 14 pages

We express Wronskian Hermite polynomials in the Hermite basis and obtain an explicit formula for the coefficients. From this, we deduce an upper bound for the modulus of the roots in the case of partitions of length 2. We also derive a general upper bound for the modulus of the real and purely imagi...