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- W1987241875 abstract "A generalization of the Stieltjes relations for the fourth Painlevé (PIV) transcendents and their higher analogues determined by dressing chains is proposed. It is proven that if a rational function from a certain class satisfies these relations it must be a solution of some higher PIV equation. The approach is based on the interpretation of the Stieltjes relations as local trivial monodromy conditions for certain Schrödinger equations in the complex domain. As a corollary a new class of Schrödinger operators with trivial monodromy is constructed in terms of the PIV transcendents." @default.
- W1987241875 created "2016-06-24" @default.
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- W1987241875 date "2001-04-10" @default.
- W1987241875 modified "2023-10-09" @default.
- W1987241875 title "On Stieltjes relations, Painlevé-IV hierarchy and complex monodromy" @default.
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- W1987241875 doi "https://doi.org/10.1088/0305-4470/34/16/318" @default.
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