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AbstractIf F(z) ≠ 0 is a holomorphic function on a connected open subset U of the complex plane, it is easily shown that F satisfies a homogeneous linear differential equation of order n on U with leading coefficient 1 if and only if all the zeros of F have order less than n. This theorem will be generalized to holomorphic m × n matrix valued functions defined on connected open subsets U of the complex plane.
ordinary differential equations, Applied Mathematics, Linear ordinary differential equations and systems, Analysis, Ordinary differential equations in the complex domain
ordinary differential equations, Applied Mathematics, Linear ordinary differential equations and systems, Analysis, Ordinary differential equations in the complex domain
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