The representation of entire functions by series in solutions of differential equations
Matematičeskie zametki, Tome 15 (1974) no. 2, pp. 229-234.

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An arbitrary entire function with a growth constraint is represented as the limit of a sequence of partial sums of a series comprised of functions of a fundamental system of particular solutions of a differential equation.
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     title = {The representation of entire functions by series in solutions of differential equations},
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Yu. N. Frolov. The representation of entire functions by series in solutions of differential equations. Matematičeskie zametki, Tome 15 (1974) no. 2, pp. 229-234. http://geodesic.mathdoc.fr/item/MZM_1974_15_2_a6/