2019
Том 71
№ 8

All Issues

Valiron-type and valiron-titchmarsh-type theorems for entire functions of order zero

Zabolotskii N. V.

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Abstract

By using known asymptotics of the counting function of zeros of an entire function f of order zero, we determine the asymptotics of In f under the condition that all zeros off lie on the same ray. The inverse problem is also analyzed.

English version (Springer): Ukrainian Mathematical Journal 48 (1996), no. 3, pp 354-366.

Citation Example: Zabolotskii N. V. Valiron-type and valiron-titchmarsh-type theorems for entire functions of order zero // Ukr. Mat. Zh. - 1996. - 48, № 3. - pp. 315-325.

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