Literature cited
L. Ahlfors, “The theory of meromorphic curves,” Acta Soc. Sci. Fenn.,3, No. 4, 1–31 (1941).
H. Weyl, Meromorphic Functions and Analytic Curves, Princeton Univ. Press, Princeton (1943).
H. Cartan, “Sur les zéros des combinaisons linéaires de p fonctions holomorphes données,” Mathematica,7, 5–31 (1933).
A. A. Gol'dberg, “Certain questions of the theory of value distribution,” in: Recent Investigations on Single-Valued Analytic Functions [Russian translation], G. Wittich (editor), Fizmatgiz, Moscow (1960), pp. 263–300.
A. Edrei, “Sums of deficiencies of meromorphic functions,” J. Anal. Math.,14, 79–107 (1965).
A. Baernstein, “Proof of Edrei's spread conjecture,” Bull. Am. Math. Soc.,78, No. 2, 277–278 (1972).
A. Baernstein, “Proof of Edrei's spread conjecture,” Proc. London Math. Soc. (3),26, No. 3, 418–434 (1973).
V. P. Petrenko and M. Khussain, “On deficiencies of entire curves of lower order λ. < 1,” Teor. Funktsii, Funkts. Anal. Prilozhen.,24, 128–138 (1975).
A. Edrei, “Solution of the deficiency problem for functions of small lower order,” Proc. London Math. Soc, (3),26, No. 3, 435–445 (1973).
W. H. J. Fuchs, “A theorem on min log ¦f (z)l/T(r, f),” London Math. Soc. Lect. Note Ser.,12, 69–72 (1974).
A. A. Gol'dberg and I. V. Ostrovskii, Value Distribution of Meromorphic Functions [in Russian], Nauka, Moscow (1970).
V. I. Krutin', “An investigation of the growth and value distribution of entire and analytic curves,” Author's Abstract of Candidate's Dissertation, Kharkov (1974).
T. B. Lamzina, “An investigation of the sets of approximation for meromorphic functions and entire curves,” Author's Abstract of Candidate's Dissertation, Kharkov (1975).
A. Edrei and W. H. J. Fuchs, “The deficiencies of meromorphic functions of order less than one,” Duke Math. J.,27, No. 2, 233–249 (1960).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 31, No. 3, pp. 273–278, May–June, 1979.
Rights and permissions
About this article
Cite this article
Krytov, A.V. Deficiencies of entire functions of finite lower order. Ukr Math J 31, 210–214 (1979). https://doi.org/10.1007/BF01089020
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01089020