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A counterexample to the Arakelyan Conjecture
Author(s):
A.
Eremenko
Journal:
Bull. Amer. Math. Soc.
27
(1992),
159-164.
MSC (2000):
Primary 30D35, 30D15, 31A05
MathSciNet review:
1145577
Retrieve article in:
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References |
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Additional information
References:
- *
- {AB} J. Anderson and A. Baernstein, {\em The size of the seton which a meromorphic function is large}, Proc. London Math. Soc.(3) {\bf 36} (1983), 518--539. MR 481006
- *
- {A} N. U. Arakelyan, {\em Entire functions of finite orderwith an infinite set of deficient values}, Doklady Akad. Nauk. SSSR {\bf 170}(1966), 999--1002; English transl. Soviet Math. Dokl. {\bf7} (1966), 1303--1306. MR 206286
- *
- {E1} A. Eremenko, {\em On the set of deficient values ofentire function of finite order}, Ukrainian Math. J. {\bf 39} (1987),225--228. (English translation) MR 899492
- *
- {E2} A. Eremenko, {\em Inverse problem of valuedistribution theory for meromorphic functions of finite order},Siberian Math. J. {\bf 27} (1987), 377--390. (English translation) MR
- *
- {E3} A. Eremenko, {\em Lower estimates in Littlewood'sconjecture on mean spherical derivative of a polynomial},Proc. Amer. Math. Soc. {\bf 112} (1991), 713--715. MR 1065943
- *
- {ES} A. Eremenko and M. Sodin, {\em Distribution of values ofmeromorphic functions and meromorphic curves from the point of viewof potential theory}, Algebra \& Analysis {\bf 3} (1991), 131--164.(English translation) MR 1120844
- *
- {F} W. H. J. Fuchs, {\em Th\'{e}orie de l'approximationdes fonctions d'une variable complexe,} Universit\'{e} deMontr\'{e}al, 1968. MR 261010
- *
- {GO} A. A. Goldberg and I. V. Ostrovskii, {\em Distribution ofvalues of meromorphic functions}, Moscow, 1970. (Russian) MR
- *
- {H} W. Hayman, {\em Meromorphic Functions}, Oxford UniversityPress, 1964. MR 164038
- *
- {LW} J. Lewis and Jang-Mei Wu, {\em On Conjectures of Arakelyan andLittlewood}, J. Analyse Math. {\bf 50} (1988), 259--283. MR 942832
- *
- {W} A. Weitsman, {\em A theorem on Nevanlinna deficiencies},Acta Math. {\bf 128} (1972), 41--52. MR 387597
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Additional Information:
DOI:
10.1090/S0273-0979-1992-00299-9
PII:
S 0273-0979(1992)00299-9
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