Geodesic
Zero sequences of holomorphic functions, representation of meromorphic functions. II.~Entire functions
Sbornik. Mathematics, Tome 200 (2009) no. 2, pp. 283-312

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Let $\Lambda=\{\lambda_k\}$ be a sequence of points in the complex plane $\mathbb C$ and $f$ a non-trivial entire function of finite order $\rho$ and finite type $\sigma$ such that $f=0$ on $\Lambda$. Upper bounds for functions such as the Weierstrass-Hadamard canonical product of order $\rho$ constructed from the sequence $\Lambda$ are obtained. Similar bounds for meromorphic functions are also derived. These results are used to estimate the radius of completeness of a system of exponentials in $\mathbb C$. Bibliography: 26 titles.
Keywords: function, zero sequence, subharmonic function, radius of completeness, system of exponentials. 
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     author = {B. N. Khabibullin},
     title = {Zero sequences of holomorphic functions, representation of meromorphic functions. {II.~Entire} functions},
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     pages = {283--312},
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     volume = {200},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2009_200_2_a6/}
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B. N. Khabibullin. Zero sequences of holomorphic functions, representation of meromorphic functions. II.~Entire functions. Sbornik. Mathematics, Tome 200 (2009) no. 2, pp. 283-312. http://geodesic.mathdoc.fr/item/SM_2009_200_2_a6/