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Asymptotic Properties of Functions Holomorphic in the Unit Disk

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Ukrainian Mathematical Journal Aims and scope

Abstract

We study the behavior of the sum of a power series near the boundary of the disk of convergence.

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REFERENCES

  1. F. Beuermann, “Wachstumsordnung, Koeffizientenwachstum Nullstellendlichte bie Potenzreichen mit endlichem Konvergenzkreis,” Math. Z. 33, 98-108 (1931).

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  2. V. Yu. Makarov, “Characteristic of polynomial growth of a multidimensional series of exponents,” Ukr. Mat. Zh. 46, No. 4, 438-443 (1994).

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Authors and Affiliations

  1. Bryansk Pedagogic University, Bryansk

    V. Yu. Makarov

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  1. V. Yu. Makarov
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Makarov, V.Y. Asymptotic Properties of Functions Holomorphic in the Unit Disk. Ukrainian Mathematical Journal 53, 822–831 (2001). https://doi.org/10.1023/A:1012594703926

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  • DOI: https://doi.org/10.1023/A:1012594703926

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