Description of sequences of zeros of one class of functions analytic in a half-plane |
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Authors: | B. V. Vinnitskii V. L. Sharan |
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Affiliation: | (1) Drogobych Pedagogic Institute, Ukraine |
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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. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 9, pp. 1169–1176, September, 1998. |
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