Geodesic
On zero of entire functions with majorant of infinite order
Algebra i analiz, Tome 21 (2009) no. 6, pp. 66-79.

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The class of entire functions $f$ satisfying $\ln|f(z)|\le C_f\lambda (|z|)$, $z\in \mathbb{C}$, where $\lambda$ is a majorant mentioned in the title, admits a zero set $\{z_j\}$ such that $\{|z_j|\}$ is a uniqueness set for this class. 
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S. V. Bykov; F. A. Shamoyan. On zero of entire functions with majorant of infinite order. Algebra i analiz, Tome 21 (2009) no. 6, pp. 66-79. http://geodesic.mathdoc.fr/item/AA_2009_21_6_a2/

[1] Levin B. Ya., Raspredelenie kornei tselykh funktsii, Gostekhizdat, M., 1956

[2] Rubel L. A., “A survey of a Fourier series method for meromorphic functions”, L'analyse harmonique dans le domaine complexe (Actes Table Ronde Internat., Centre Nat. Recherche Sci., Montpellier, 1972), Lecture Notes in Math., 336, Springer, Berlin, 1973, 51–62 | MR

[3] Rubel L. A., Taylor B. A., “A Fourier series method for meromorphic and enfire functions”, Bull. Soc. Math. France, 96 (1968), 53–96 | Zbl

[4] De Branges L., Hilbert spaces of entire functions, Prentice-Hall, Inc., Englewood Cliffs, NJ, 1968 | MR | Zbl

[5] Clunie J., Kovari T., “On integral functions having prescribed asymptotic growth, II”, Canad. J. Math., 20 (1968), 7–20 | MR | Zbl

[6] Rodin B., Warschawski S. E., “Extremal length and the boundary behavior of conformal mappings”, Ann. Acad. Sci. Fenn. Ser. A I Math., 2 (1976), 467–500 | MR | Zbl

[7] Warschawski S. E., “On conformal mapping of infinite strips”, Trans. Amer. Math. Soc., 51 (1942), 280–335 | DOI | MR | Zbl

[8] Govorov N. V., Kraevaya zadacha Rimana s beskonechnym indeksom, Nauka, M., 1986, 29–41 | MR | Zbl

[9] Hayman W. K., Stewart F. M., “Real inequalities with applications to function theory”, Proc. Cambridge Philos. Soc., 50 (1954), 250–260 | DOI | MR | Zbl