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solv-int1997
The Second Painlevé Equation in the Large-Parameter Limit I: Local Asymptotic Analysis
Nalini Joshi
In this paper, we find all possible asymptotic behaviours of the solutions of the second Painlevé equation as the parameter in the local region $x\llα…
solv-int1997
The Discrete Painlevé I Hierarchy
Clio Cresswell, Nalini Joshi
The discrete Painlevé I equation (dP) is an integrable difference equation which has the classical first Painlevé equation (P) as a continuum limit. dP is beli…