A Riemann-Hilbert Approach to Skew-Orthogonal Polynomials of Symplectic Type
We present a representation of skew-orthogonal polynomials of symplectic type (𝛽 = 4) in terms of a matrix Riemann-Hilbert problem, for weights of the form e⁻ⱽ⁽ᶻ⁾ where 𝑉 is a polynomial of even degree and positive leading coefficient. This is done by representing skew-orthogonality as a kind of mul...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2024 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2024
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/212344 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | A Riemann-Hilbert Approach to Skew-Orthogonal Polynomials of Symplectic Type. Alex Little. SIGMA 20 (2024), 076, 32 pages |