Linear systems of moment differential equations with analytic coefficients have unique local analytic solutions for strongly regular moment sequences, with the solution radius governed by a factorial-growth dichotomy.
Balser, Formal power series and linear systems of meromorphic ordin ary differential equations
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On the solutions to linear systems of moment differential equations with variable coefficients
Linear systems of moment differential equations with analytic coefficients have unique local analytic solutions for strongly regular moment sequences, with the solution radius governed by a factorial-growth dichotomy.