Geodesic
The representation of entire functions by series in solutions of differential equations
Matematičeskie zametki, Tome 15 (1974) no. 2, pp. 229-234 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@article{MZM_1974_15_2_a6,
     author = {Yu. N. Frolov},
     title = {The representation of entire functions by series in solutions of differential equations},
     journal = {Matemati\v{c}eskie zametki},
     pages = {229--234},
     year = {1974},
     volume = {15},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1974_15_2_a6/}
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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/