Large-Degree Asymptotics of Rational Painlevé-IV Functions Associated to Generalized Hermite Polynomials
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DOI: 10.1093/imrn/rny172
Abstract: 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… read more here.
Keywords: rational painlev; generalized hermite; functions associated; hermite polynomials ... See more keywords