R. Gontsov

activity

20082024

most citedApparent singularities of Fuchsian equations, and the Painlevé VI equation and Garnier systems

7 citations · 21 across the 18 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.CA2019

On the convergence of exotic formal series solutions of an ODE. A proof by the implicit mapping theorem

Renat Gontsov, Irina Goryuchkina

We propose a sufficient condition of the convergence of a complex power type formal series of the form $φ = \sum_{k = 1}^{\infty} α_{k} (x^{i γ}) x^{k}$ , where $α_{k}$ are functions mero…

math.CA2019

Linear Differential Systems with Small Coefficients: Various Types of Solvability and their Verification

Moulay A. Barkatou, Renat R. Gontsov

We study the problem of solvability of linear differential systems with small coefficients in the Liouvillian sense (or, by generalized quadratures). For a general system, this pro…