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20132024
most citedSmall divisors in the problem of the convergence of generalized power series solutions of -difference equations

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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…