Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations

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Focusing on the theory of ordinary differential equations, this book explores the unique solutions of linear meromorphic systems, particularly those represented by power series with a zero radius of convergence. It highlights the classical theory while integrating recent advancements in the summability of formal power series. The author provides insights into the computation of formal solutions, emphasizing the divergence of these power series and offering a fresh perspective on established concepts in the field.