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Gaussian97

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- Is there a name for functions that are linearly dependent with its derivatives?

Is there a name for functions that are linearly dependent with its derivatives? i.e. a function ##f(x)## such that, for some value of ##n## it fulfills

$$f^{(n+1)} = \sum_{k=0}^{n} \alpha_k f^{(k)}$$

are linearly dependent?

$$f^{(n+1)} = \sum_{k=0}^{n} \alpha_k f^{(k)}$$

are linearly dependent?