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A meromorphic function of zero order with nonasymptotic defect value

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Abstract

We construct an example of a meromorphic function of zero order with nonasymptotic defect value.

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Literature cited

  1. A. A. Gol'dberg and I. V. Ostrovskii, The Distribution of the Values of Meromorphic Functions [in Russian], Moscow (1970).

  2. U. Kheiman, Meromorphic Functions [in Russian], Moscow (1966).

  3. L. A. Ter-Israelyan, “Uniform and tangential approximations of functions which are holomorphic in a sector by meromorphic functions, with an estimate of their growth,” Izv. Akad. Nauk Armenian SSR, Ser. Matem.,6, No. 1, 67–80 (1971).

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Translated from Matematicheskie Zametki, Vol. 13, No. 2, pp. 195–206, February, 1973.

In conclusion, the author would like to express his deep gratitude to N. U. Arakelyan for valuable discussions.

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Ter-Israelyan, L.A. A meromorphic function of zero order with nonasymptotic defect value. Mathematical Notes of the Academy of Sciences of the USSR 13, 116–123 (1973). https://doi.org/10.1007/BF01094228

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  • DOI: https://doi.org/10.1007/BF01094228

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