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Singular points of the Hadamard composition

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Ukrainian Mathematical Journal Aims and scope

Abstract

A generalization of Bohnenblust's theorem on the singular points of the Hadamard composition of power series is obtained.

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Literature cited

  1. L. Bieberbach, Analytische Fortsetzung, Springer, Berlin (1955).

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  2. F. Bohnenblust, “Note on singularities of power series,” Proc. Nat. Acad. Sci. U.S.A.,16, 752–754 (1930).

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  3. Yu. V. Sidorov, M. V. Fedoryuk, and M. N. Shabunin, Lectures in the Theory of Functions of a Complex Variable, 3rd edn. [in Russian], Nauka, Moscow (1989).

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Authors and Affiliations

  1. Kuban University, Krasnodar

    Yu. F. Korobeinik & N. N. Mavrodi

  2. Rostov University, USSR

    Yu. F. Korobeinik & N. N. Mavrodi

Authors
  1. Yu. F. Korobeinik
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  2. N. N. Mavrodi
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 12, pp. 1711–1713, December, 1990.

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Korobeinik, Y.F., Mavrodi, N.N. Singular points of the Hadamard composition. Ukr Math J 42, 1545–1547 (1990). https://doi.org/10.1007/BF01060828

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  • DOI: https://doi.org/10.1007/BF01060828

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