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Large-degree asymptotics of rational Painleve-IV solutions by the isomonodromy method
Robert J. Buckingham, Peter D. Miller
The Painleve-IV equation has two families of rational solutions generated respectively by the generalized Hermite polynomials and the generalized Okamoto polynomials. We apply the…
Large-degree asymptotics of rational Painleve-II functions. II
Robert J. Buckingham, Peter D. Miller
This paper is a continuation of our analysis, begun in arXiv:1310.2276, of the rational solutions of the inhomogeneous Painleve-II equation and associated rational solutions of the…
Total integrals of global solutions to Painleve II
Jinho Baik, Robert Buckingham, Jeffery DiFranco +1
We evaluate the total integral from negative infinity to positive infinity of all global solutions to the Painleve II equation on the real line. The method is based on the interpla…