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On sets of regular growth for functions analytic in an open half plane

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Ukrainian Mathematical Journal Aims and scope

Abstract

We introduce the notion of the set of regular growth for functions analytic in an open half plane. In particular, for a function of completely regular growth in an open half plane, the entire half plane is its set of regular growth. Developed theory is applied to the solution of a problem of Hermitian interpolation in a class of functions of completely regular growth in a half plane with given indicator.

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Authors and Affiliations

  1. Sumy Agricultural Institute, Sumy

    K. G. Malyutin

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  1. K. G. Malyutin
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 11, pp. 1486–1501, November, 1994.

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Malyutin, K.G. On sets of regular growth for functions analytic in an open half plane. Ukr Math J 46, 1643–1659 (1994). https://doi.org/10.1007/BF01058883

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  • DOI: https://doi.org/10.1007/BF01058883

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