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Balk, M. B.; Gol’dberg, A. A.

An improved version of the big Picard theorem for polyanalytic functions. (English) Zbl 0348.30031

Ukr. Math. J. 28(1976), 337-342 (1977).
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MSC:

30G20 Generalizations of Bers and Vekua type (pseudoanalytic, \(p\)-analytic, etc.)
30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
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[1] M. B. Balk and M. F. Zuev, ?On polyanalytic functions,? Usp. Matem. Nauk,25, No. 5, 203-226 (1970). · Zbl 0222.30041
[2] M. B. Balk, ?On values taken by entire polyanalytic functions,? Dokl. Akad. Nauk SSSR,167, No. 2, 12-15 (1966).
[3] W. Bosch and P. Krajkiewicz, ?The big Picard theorem for polyanalytic functions,? Proc. Amer. Math. Soc.,26, No. 1, 145-150 (1970). · Zbl 0201.10001 · doi:10.1090/S0002-9939-1970-0264096-3
[4] H. L. Selberg, ?Über die Wertverteilung der algebroiden Funktionen,? Mat. Z.,31, No. 5, 709-728 (1930). · JFM 56.0280.06 · doi:10.1007/BF01246442
[5] S. Stoilow, Lectures on the Topological Principles of the Theory of Analytic Functions [Russian translation], Nauka, Moscow (1964), p. 226.
[6] M. B. Balk and M. F. Zuev, ?On the number of values taken by an entire polyanalytic function in a nonisolated fashion,? Izv. Akad. Nauk ArmSSR, Matematika,7, No. 5, 313-324 (1972).
[7] T. Kuroda, ?A property of some open Riemann surfaces and its application,? Nagoya Math. J.,6, 77-84 (1953). · Zbl 0052.08401
[8] Z. Kuramochi, ?On a covering property of abstract Riemann surfaces,? Osaka Math. J.,6, 93-103 (1954). · Zbl 0057.06304
[9] T. Kuroda, ?On analytic functions on some Riemann surfaces,? Nagoya Math. J.,10, 27-50 (1956). · Zbl 0071.29305
[10] A. Mori, ?On Riemann surfaces on which no bounded harmonic function exists,? J. Math. Soc. Japan,3, 247-257 (1951). · Zbl 0044.30102 · doi:10.2969/jmsj/00320285
[11] L. Sario and K. Noshiro, Value Distribution, Van Nostrand, New York (1966). · Zbl 0173.07904
[12] G. Rémoundos, Extension aux fonctions algébroides multiformes du théorème de M. Picard et de ses généralisations (Mem. Sci. Math., Fasc. 23), Gauthier-Villars, Paris (1927).
[13] P. Krajkiewicz, ?Polyanalytic functions with exceptional values,? Trans. Amer. Math. Soc.,197, 181-210 (1974). · Zbl 0291.30020 · doi:10.1090/S0002-9947-1974-0350024-7
[14] M. B. Balk, ?On factorization of a polyanalytic function in the neighborhood of an isolated singularity,? Izv. Akad. Nauk ArmSSR, Matematika,10, No. 5, 389-397 (1975).
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