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- W2040556630 abstract "In this paper, we construct hierarchies of rational solutions of the discrete third Painlevé equation (d-PIII) by applying Schlesinger transformations to simple initial solutions. We show how these solutions reduce in the continuous limit to the hierarchies of rational solutions of the third Painlevé equation (PIII). We also study the solutions of d-PIII which are expressed in terms of discrete Bessel functions and show that these solutions reduce in the continuous limit the hierarchies of special function solutions of PIII." @default.
- W2040556630 created "2016-06-24" @default.
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- W2040556630 date "2000-01-01" @default.
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- W2040556630 title "Hierarchies of exact solutions for the discrete third Painlevé equation" @default.
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- W2040556630 doi "https://doi.org/10.1016/s0960-0779(98)00268-9" @default.
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