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• W2945950711 abstract "We have studied Pade interpolation problems on an additive grid, related to additive difference ($d$-) Painleve equations of type $E_7^{(1)}$, $E_6^{(1)}$, $D_4^{(1)}$ and $A_3^{(1)}$. By solving those problems, we can derive time evolution equations, Lax pairs of scalar type and determinant formulae of special solutions, for the corresponding $d$-Painleve equations. We show how the special solutions are expressed as determinant formulae by using terminating (generalized) hypergeometric functions." @default.
• W2945950711 created "2019-05-29" @default.
• W2945950711 creator A5090723565 @default.
• W2945950711 date "2017-06-30" @default.
• W2945950711 modified "2023-09-27" @default.
• W2945950711 title "Hypergeometric special solutions to additive difference Painlevé equations by Padé method" @default.
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