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math.CA2014
Note on the Painlevé V tau-functions
Yu. P. Bibilo, R. R. Gontsov
We study some properties of tau-functions of an isomonodromic deformation leading to the fifth Painlevé equation. In particular, here is given an elementary proof of Miwa's formula…
math.CA2014
On the convergence of generalized power series satisfying an algebraic ODE
Renat Gontsov, Irina Goryuchkina
We propose a sufficient condition of the convergence of a generalized power series formally satisfying an algebraic (polynomial) ordinary differential equation. The proof is based…