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On abscissas of convergence of a Dirichlet series and its Newton majorant

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Ukrainian Mathematical Journal Aims and scope

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Literature cited

  1. A. Kostovskii, “Localization by means of the moduli of zeroes of a Laurent series and its derivatives,” Izd. L'vov Univ. (1967).

  2. E. Titchmarsh, The Theory of Functions, Oxford University Press, London (1939).

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  3. G. Valiron, Théorie Générale des Séries de Dirichlet, Mem. Sci. Math.,XVII, Paris (1926).

  4. S. Mandelbrojt, Approximating Series. Regularization of Sequences. Applications [Russian translation], IL, Moscow (1955).

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  5. A. I. Markushevich, Theory of Analytic Functions [in Russian], Gostekhizdat, Moscow-Leningrad (1950).

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Authors and Affiliations

  1. Uzhgorod State University, USSR

    F. I. Geche & S. V. Onipchuk

Authors
  1. F. I. Geche
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  2. S. V. Onipchuk
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 26, No. 2, pp. 161–168, March–April, 1974.

The author wishes to thank A. A. Gol'dberg for this valuable remarks.

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Geche, F.I., Onipchuk, S.V. On abscissas of convergence of a Dirichlet series and its Newton majorant. Ukr Math J 26, 131–137 (1974). https://doi.org/10.1007/BF01085711

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  • DOI: https://doi.org/10.1007/BF01085711

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