2019
Том 71
№ 11

All Issues

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

Sharan V.L., Vynnyts’kyi B. V.

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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.

English version (Springer): Ukrainian Mathematical Journal 50 (1998), no. 9, pp 1337-1345.

Citation Example: Sharan V.L., Vynnyts’kyi B. V. Description of sequences of zeros of one class of functions analytic in a half-plane // Ukr. Mat. Zh. - 1998. - 50, № 9. - pp. 1169–1176.

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