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On deviations and defects of meromorphic functions of finite lower order

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Abstract

We obtain estimates for the sum of deviations and sum of defects to power 1/2 in terms of the Valiron defect of the derivative at zero. In particular, the Fuchs hypothesis (1958) is verified.

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Authors
  1. I. I. Marchenko
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Additional information

Kharkov University, Kharkov. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 6, pp. 796–803, June, 1999.

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Marchenko, I.I. On deviations and defects of meromorphic functions of finite lower order. Ukr Math J 51, 889–898 (1999). https://doi.org/10.1007/BF02591976

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  • DOI: https://doi.org/10.1007/BF02591976

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