Relationship between the asymptotic behavior of exponents of a multidimensional exponential series and the asymptotic behavior of its coefficients in a neighborhood of singular points
We study the relation of the asymptotic behavior of the coefficients of multidimensional exponential series to the asymptotic behavior of its sum by using theR-order of the growthp QR (a 1,...,a n ) in an octantQ(a 1,...,a n ).
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| Date: | 1999 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1999
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4715 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510877394927616 |
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| author | Makarov, V. Yu. Макаров, В. Ю. Макаров, В. Ю. |
| author_facet | Makarov, V. Yu. Макаров, В. Ю. Макаров, В. Ю. |
| author_sort | Makarov, V. Yu. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:12:04Z |
| description | We study the relation of the asymptotic behavior of the coefficients of multidimensional exponential series to the asymptotic behavior of its sum by using theR-order of the growthp QR (a 1,...,a n ) in an octantQ(a 1,...,a n ). |
| first_indexed | 2026-03-24T03:03:59Z |
| format | Article |
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| id | umjimathkievua-article-4715 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:03:59Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/d5/e9ccbcb81c2f8f354589477604de3dd5.pdf |
| spelling | umjimathkievua-article-47152020-03-18T21:12:04Z Relationship between the asymptotic behavior of exponents of a multidimensional exponential series and the asymptotic behavior of its coefficients in a neighborhood of singular points Связь асимптотического поведения показателей многомерного ряда экспонент с асимптотическим поведением его коэффициентов в окрестности особых точек Makarov, V. Yu. Макаров, В. Ю. Макаров, В. Ю. We study the relation of the asymptotic behavior of the coefficients of multidimensional exponential series to the asymptotic behavior of its sum by using theR-order of the growthp QR (a 1,...,a n ) in an octantQ(a 1,...,a n ). Вивчається зв'язок асимптотичної поведінки. коефіцієнтів багатовимірного ряду експонент з асимптотичіюю поведінкою його суми, з використанням $R$-порядку зростання $Q_R (a_1,...,a_n)$ в октанті $Q(a_1,...,a_n )$. Institute of Mathematics, NAS of Ukraine 1999-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4715 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 9 (1999); 1193–1200 Український математичний журнал; Том 51 № 9 (1999); 1193–1200 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4715/6131 https://umj.imath.kiev.ua/index.php/umj/article/view/4715/6132 Copyright (c) 1999 Makarov V. Yu. |
| spellingShingle | Makarov, V. Yu. Макаров, В. Ю. Макаров, В. Ю. Relationship between the asymptotic behavior of exponents of a multidimensional exponential series and the asymptotic behavior of its coefficients in a neighborhood of singular points |
| title | Relationship between the asymptotic behavior of exponents of a multidimensional exponential series and the asymptotic behavior of its coefficients in a neighborhood of singular points |
| title_alt | Связь асимптотического поведения показателей многомерного ряда
экспонент с асимптотическим поведением его коэффициентов в окрестности
особых точек |
| title_full | Relationship between the asymptotic behavior of exponents of a multidimensional exponential series and the asymptotic behavior of its coefficients in a neighborhood of singular points |
| title_fullStr | Relationship between the asymptotic behavior of exponents of a multidimensional exponential series and the asymptotic behavior of its coefficients in a neighborhood of singular points |
| title_full_unstemmed | Relationship between the asymptotic behavior of exponents of a multidimensional exponential series and the asymptotic behavior of its coefficients in a neighborhood of singular points |
| title_short | Relationship between the asymptotic behavior of exponents of a multidimensional exponential series and the asymptotic behavior of its coefficients in a neighborhood of singular points |
| title_sort | relationship between the asymptotic behavior of exponents of a multidimensional exponential series and the asymptotic behavior of its coefficients in a neighborhood of singular points |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4715 |
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