The Expansion of Wronskian Hermite Polynomials in the Hermite Basis

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...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2021
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
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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

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Digital Library of Periodicals of National Academy of Sciences of Ukraine