The growth of entire Dirichlet series in terms of generalized orders
Let be a continuous function which increases to on an infinite interval of the form . A necessary and sufficient condition is found on a sequence increasing to which ensures that for each Dirichlet series of the form , , which is absolutely convergent in the following relation holds: where and are t...
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| Veröffentlicht in: | Sbornik. Mathematics 2018-02, Vol.209 (2), p.241-257 |
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| container_title | Sbornik. Mathematics |
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| creator | Hlova, T. Ya Filevych, P. V. |
| description | Let be a continuous function which increases to on an infinite interval of the form . A necessary and sufficient condition is found on a sequence increasing to which ensures that for each Dirichlet series of the form , , which is absolutely convergent in the following relation holds: where and are the maximum modulus and maximum term of the series, respectively. Bibliography: 10 titles. |
| doi_str_mv | 10.1070/SM8644 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 1064-5616 |
| ispartof | Sbornik. Mathematics, 2018-02, Vol.209 (2), p.241-257 |
| issn | 1064-5616 1468-4802 |
| language | eng |
| recordid | cdi_iop_journals_10_1070_SM8644 |
| source | Institute of Physics Journals; Alma/SFX Local Collection |
| subjects | Colon Continuity (mathematics) Dirichlet problem entire Dirichlet series generalized order maximum modulus maximum term |
| title | The growth of entire Dirichlet series in terms of generalized orders |
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