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math.CA2020
On the convergence of generalized power series solutions of -difference equations
Renat Gontsov, Irina Goryuchkina, Alberto Lastra
A sufficient condition for the convergence of a generalized formal power series solution to an algebraic -difference equation is provided. The main result leans on a geometric p…
math.CA2020
From formal to actual Puiseux series solutions of algebraic differential equations of first order
Vladimir Dragovic, Renat Gontsov, Irina Goryuchkina
The existence, uniqueness and convergence of formal Puiseux series solutions of non-autonomous algebraic differential equations of first order at a nonsingular point of the equatio…