Valiron-type and valiron-titchmarsh-type theorems for entire functions of order zero
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.
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| Date: | 1996 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1996
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5329 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | 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. |
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