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Asymptotic estimates for the canonical products with zeros of a particular form

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Abstract

We obtain sharp asymptotic estimates on the whole complex plane for the canonical products with zeros of the form λn = s-nαl(n), where α > 0 and l(t) is a slowly varying function.

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Authors and Affiliations

  1. Lomonosov State University, Moscow, Russia

    A. A. Yukhimenko

Authors
  1. A. A. Yukhimenko
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Correspondence to A. A. Yukhimenko.

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Original Russian Text Copyright © 2010 Yukhimenko A. A.

The author was supported by the Russian Foundation for Basic Research (Grant 09-01-00225a).

Moscow. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 51, No. 4, pp. 944–954, July–August, 2010.

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Yukhimenko, A.A. Asymptotic estimates for the canonical products with zeros of a particular form. Sib Math J 51, 755–764 (2010). https://doi.org/10.1007/s11202-010-0076-6

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  • DOI: https://doi.org/10.1007/s11202-010-0076-6

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