Large-Degree Asymptotics of Rational Painlevé-IV Functions Associated to Generalized Hermite Polynomials
The Painlevé-IV equation has three families of rational solutions generated by the generalized Hermite polynomials. Each family is indexed by two positive integers $m$ and $n$. These functions have applications to nonlinear wave equations, random matrices, fluid dynamics, and quantum mechanics. Nume...
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| Veröffentlicht in: | International mathematics research notices 2020-09, Vol.2020 (18), p.5534-5577 |
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| Format: | Artikel |
| Sprache: | eng |
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