Literature Cited
B. Ya. Levin, Distribution of Zeros of Entire Functions, Amer. Math. Soc. (1972).
M. I. Andrashko, “Extremal indicator of entire function with positive zeros of order less than unity,” Dop. Akad. Nauk Ukr. SSR, No. 7, 869–872 (1960).
A. A. Gol'dberg, “Extremal indicator for entire function with positive zeros,” Sib. Mat. Zh.,3, No. 2, 170–177 (1962).
N. V. Govorov, “Extremal indicator of entire function with positive zeros of assigned upper and lower density,” Dop. Akad. Nauk Ukr. SSR, No. 2, 148–150 (1966).
A. A. Gol'dberg, “Integral with respect to semiadditive measure and its use in the theory of entire functions. I, II, III, IV,” Mat. Sb.,58 (100), 289–334 (1962);61 (103), 334–349 (1963);65 (107), 414–453 (1964);66 (108), 412–449 (1965).
A. A. Kondratyuk, “Extremal indicator for entire functions with positive zeros. I, II” Litov. Mat. Sb.,7, No. 1 (1967);8, No. 1 (1968).
A. A. Kondratyuk, “Entire functions with finite maximal density of zeros,” Teor. Funktsii, Funkts. Anal., Prilozhen., No. 10, 11, Kharkov (1970).
V. S. Azarin, “Extremal problems on entire functions,” Teor. Funktsii, Funkts. Anal. Prilozhen., No. 18 18–49, Kharkov (1973).
N. Bourbaki, Integration, Addison-Wesley (1977).
V. S. Azarin, Theory of Growth of Subharmonic Functions [in Russian], Khakov State Univ. (1978).
N. S. Landkof, Foundations of Modern Potential Theory, Springer-Verlag (1972).
V. S. Azarin, “On the asymptotic behavior of subharmonic functions of finite order,” Mat. Sb.,108 (150), No. 2, 147–167 (1979).
V. S. Azarin, “On the rays of completely regular growth of an entire function,”, Mat. Sb.,79 (121), 463–476 (1968).
Additional information
Ukrainian Polytechnical Correspondence Institute, Kharkov. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 24, No. 1, pp. 175–186, January–February, 1983.
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Fainberg, E.D. Integral with respect to nonadditive measure and estimates of indicator of entire functions. Sib Math J 24, 143–153 (1983). https://doi.org/10.1007/BF00968808
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DOI: https://doi.org/10.1007/BF00968808