Geodesic
The representation of integral functions by series of the form $\sum_{n=1}^\infty\,\alpha_n f(\lambda_n z)$
Matematičeskie zametki, Tome 4 (1968) no. 5, pp. 579-588

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The necessary and sufficient conditions that an integral function, whose order satisfies certain conditions, should be represented by a series of integral functions of the form $f(\lambda_nz)$ are indicated. 
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     author = {V. I. Shevtsov},
     title = {The representation of integral functions by series of the form $\sum_{n=1}^\infty\,\alpha_n f(\lambda_n z)$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {579--588},
     publisher = {mathdoc},
     volume = {4},
     number = {5},
     year = {1968},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1968_4_5_a10/}
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V. I. Shevtsov. The representation of integral functions by series of the form $\sum_{n=1}^\infty\,\alpha_n f(\lambda_n z)$. Matematičeskie zametki, Tome 4 (1968) no. 5, pp. 579-588. http://geodesic.mathdoc.fr/item/MZM_1968_4_5_a10/