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Description of sequences of zeros of one class of functions analytic in a half-plane

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Abstract

We describe sequences of zeros of functions ƒ ≠ 0 that are analytic in the right half-plane and satisfy the condition ¦ƒ(z)¦ ≤ 0(1) exp (σ¦ z ¦η(¦ z ¦)), 0 ≤ <+ ∞, Re z > 0, where η: [0; + ∞) → (- ∞; + ∞) is a function of bounded variation.

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Authors and Affiliations

  1. Drogobych Pedagogic Institute, Ukraine

    B. V. Vinnitskii & V. L. Sharan

Authors
  1. B. V. Vinnitskii
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  2. V. L. Sharan
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 9, pp. 1169–1176, September, 1998.

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Vinnitskii, B.V., Sharan, V.L. Description of sequences of zeros of one class of functions analytic in a half-plane. Ukr Math J 50, 1337–1345 (1998). https://doi.org/10.1007/BF02525241

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  • DOI: https://doi.org/10.1007/BF02525241

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