Characteristics of the sum of a multidimensional series
We study the relationship between the asymptotic behavior of coefficients of a multidimensional series of exponents and the asymptotic behavior of its sum near a point on the boundary of the domain of convergence. Growth characteristics, an order $\rho_Q(a)$, and a type $\sigma_{Q \beta}(a)$ in an...
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| Date: | 1994 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Institute of Mathematics, NAS of Ukraine
1994
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5680 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1865792920390467584 |
|---|---|
| author | Makarov, V. Yu. Макаров, В. Ю. |
| author_facet | Makarov, V. Yu. Макаров, В. Ю. |
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"author": "V. Yu. Makarov",
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| author_sort | Makarov, V. Yu. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:15:43Z |
| description | We study the relationship between the asymptotic behavior of coefficients of a multidimensional series of exponents and the asymptotic behavior of its sum near a point on the boundary of the domain of convergence.
Growth characteristics, an order $\rho_Q(a)$, and a type $\sigma_{Q \beta}(a)$ in an octant $Q(a)$ are determined. The dependence of growth characteristics on the coordinates of points of the boundary of the domain of convergence is established. |
| first_indexed | 2026-03-24T03:20:20Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5680 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:20:20Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/f7/5034c4185ef830e5c4db3da4ba4125f7.pdf |
| spelling | umjimathkievua-article-56802020-03-19T09:15:43Z Characteristics of the sum of a multidimensional series Характеристика сум многоразмерных серий Makarov, V. Yu. Макаров, В. Ю. We study the relationship between the asymptotic behavior of coefficients of a multidimensional series of exponents and the asymptotic behavior of its sum near a point on the boundary of the domain of convergence. Growth characteristics, an order $\rho_Q(a)$, and a type $\sigma_{Q \beta}(a)$ in an octant $Q(a)$ are determined. The dependence of growth characteristics on the coordinates of points of the boundary of the domain of convergence is established. Вивчається зв’язок асимптотичної поведінки коефіцієнтів багатовимірного ряду експонент з асимптотичною поведінкою його суми поблизу точки на межі збіжності. Визначені характеристики зростання, порядок $\rho_Q(a)$ та тип $\sigma_{Q \beta}(a)$ в октант і $Q(a)$. Встановлена залежність ха-ракіеристик зростання від координат точок межі збіжності. Institute of Mathematics, NAS of Ukraine 1994-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5680 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 7 (1994); 886–892 Український математичний журнал; Том 46 № 7 (1994); 886–892 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/5680/8045 https://umj.imath.kiev.ua/index.php/umj/article/view/5680/8046 Copyright (c) 1994 Makarov V. Yu. |
| spellingShingle | Makarov, V. Yu. Макаров, В. Ю. Characteristics of the sum of a multidimensional series |
| title | Characteristics of the sum of a multidimensional series |
| title_alt | Характеристика сум многоразмерных серий |
| title_full | Characteristics of the sum of a multidimensional series |
| title_fullStr | Characteristics of the sum of a multidimensional series |
| title_full_unstemmed | Characteristics of the sum of a multidimensional series |
| title_short | Characteristics of the sum of a multidimensional series |
| title_sort | characteristics of the sum of a multidimensional series |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5680 |
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