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Asymptotic behavior of meromorphic functions of completely regular growth. (English. Russian original) Zbl 0525.30020

Ukr. Math. J. 35, 269-274 (1983); translation from Ukr. Mat. Zh. 35, No. 3, 315-320 (1983).

MSC:

30D30 Meromorphic functions of one complex variable (general theory)
30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
30D20 Entire functions of one complex variable (general theory)
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[1] L. A. Rubel and B. A. Taylor, ?A Fourier series method for meromorphic and entire functions,? Bull. Soc. Math. France,96, 53-96 (1968). · Zbl 0157.39603
[2] A. A. Kondratyuk, ?A Fourier series method for entire and meromorphic functions of completely regular growth. I,? Mat. Sb.,106, No. 3, 386-408 (1978).
[3] A. A. Kondratyuk, ?A Fourier series method for entire and meromorphic functions of completely regular growth. II,? Mat. Sb.,113, No. 1, 118-132 (1980). · Zbl 0441.30036
[4] L. Carleson, Selected Problems in the Theory of Exceptional Sets [Russian translation], Mir, Moscow (1971). · Zbl 0224.31001
[5] V. S. Azarin, ?On the asymptotic behavior of subharmonic functions of finite order,? Mat. Sb.,108, No. 2, 147-167 (1979).
[6] B. J. Levin, Distribution of Zeros of Entire Functions, Amer. Math. Soc. (1972).
[7] V. S. Azarin, ?On the regularity of growth of the Fourier coefficients of the logarithm of the modulus of an entire function,? in: The Theory of Functions, Functional Analysis, and Their Applications [in Russian], No. 27 (1977), pp. 9-22. · Zbl 0435.30026
[8] P. Z. Agranovich, ?On functions of completely regular growth of several variables,? in: The Theory of Functions, Functional Analysis, and Their Applications [in Russian], No. 30, Kharkov (1977), pp. 3-13. · Zbl 0449.32003
[9] P. Z. Agranovich and L. I. Ronkin, On Functions of Completely Regular Growth of Several Variables [in Russian], Kharkov State Univ. (1976). · Zbl 0433.32008
[10] A. Edrei and W. H. J. Fuchs, ?Bounds for the number of deficient values of certain classes of meromorphic functions,? Proc. London Math. Soc.,12, 315-344 (1962). · Zbl 0103.30001 · doi:10.1112/plms/s3-12.1.315
[11] A. A. Gol’dberg and I. V. Ostrovskii, Distribution of Values of Meromorphic Functions [in Russian], Nauka, Moscow (1970).
[12] V. S. Azarin, The Theory of Growth of Subharmonic Functions [in Russian], Kharkov State Univ. (1978). · Zbl 1157.31001
[13] W. K. Hayman and P. B. Kennedy (eds.), Subharmonic Functions, Academic Press (1976). · Zbl 0419.31001
[14] P. Noverraz, ?Fonctions plurisousharmoniques et analytiques dans les espaces vectoriels topologiques complexes,? Ann. Inst. Fourier, Grenoble,19, 419-493 (1969). · Zbl 0176.09903
[15] A. A. Kondratyuk, ?Asymptotic behavior and number of deficient values of entire functions of completely regular growth,? Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 5, 11-13 (1981). · Zbl 0467.30019
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