On behaviour of integral functions represented by the Dirichlet series on the real axis
Conditions are found under which for an entire function $f$ represented by a Dirichlet series with finite Ritt order on some sequence $(x_k), 0<x_k↑\infty$, as $k→\infty$ one has $| f (x_k) | = M_f((1+o(1)x_k),M_f(x)=sup\{|f(z)|:{\rm Re} \ z\leq x\}$.
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| Datum: | 2025 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2025
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/9367 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | Conditions are found under which for an entire function $f$ represented by a Dirichlet series with finite Ritt order on some sequence $(x_k), 0<x_k↑\infty$, as $k→\infty$ one has $| f (x_k) | = M_f((1+o(1)x_k),M_f(x)=sup\{|f(z)|:{\rm Re} \ z\leq x\}$. |
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