On a class of hybrid integral transformations (Bessel-Fourier-Bessel-...-Fourier-Bessel) on the polar axis with $2n$ junction points
The hybrid integral transformations (Bessel-Fourier-Bessel-...-Fourier-Bessel) are constructed on the polar axis with $2n$ junction points by using the method of a delta-shaped sequence regarded as a Dirichlet kernel. The principal identity of the integral transformation of a differential operator i...
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| Date: | 1993 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
1993
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5905 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512124879503360 |
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| author | Lenyuk, M. P. Oleinik, N. P. Ленюк, М. П. Олейник, Н. П. Ленюк, М. П. Олейник, Н. П. |
| author_facet | Lenyuk, M. P. Oleinik, N. P. Ленюк, М. П. Олейник, Н. П. Ленюк, М. П. Олейник, Н. П. |
| author_sort | Lenyuk, M. P. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:20:26Z |
| description | The hybrid integral transformations (Bessel-Fourier-Bessel-...-Fourier-Bessel) are constructed on the polar axis with $2n$ junction points by using the method of a delta-shaped sequence regarded as a Dirichlet kernel. The principal identity of the integral transformation of a differential operator is obtained. |
| first_indexed | 2026-03-24T03:23:48Z |
| format | Article |
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| id | umjimathkievua-article-5905 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:23:48Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/63/d94c524a08b99b85d86295454b4dbd63.pdf |
| spelling | umjimathkievua-article-59052020-03-19T09:20:26Z On a class of hybrid integral transformations (Bessel-Fourier-Bessel-...-Fourier-Bessel) on the polar axis with $2n$ junction points Один класс гибридных интегральных преобразований (Бесселя - Фурье - Бесселя - ... - Фурье - Бесселя) на полярной оси с $2n$ точками сопряжения Lenyuk, M. P. Oleinik, N. P. Ленюк, М. П. Олейник, Н. П. Ленюк, М. П. Олейник, Н. П. The hybrid integral transformations (Bessel-Fourier-Bessel-...-Fourier-Bessel) are constructed on the polar axis with $2n$ junction points by using the method of a delta-shaped sequence regarded as a Dirichlet kernel. The principal identity of the integral transformation of a differential operator is obtained. Методом дельтаподібної послідовності, прийнятої як ядро Діріхле, побудовані гібридні інтегральні перетворення (Бесселя — Фур'є — Бесселя —... — Фур'є — Бесселя) на полярній осі з $2n$ точками спряження. Одержана основна тотожність інтегрального перетворення диференціального оператора. Institute of Mathematics, NAS of Ukraine 1993-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5905 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 8 (1993); 1096–1103 Український математичний журнал; Том 45 № 8 (1993); 1096–1103 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5905/8493 https://umj.imath.kiev.ua/index.php/umj/article/view/5905/8494 Copyright (c) 1993 Lenyuk M. P.; Oleinik N. P. |
| spellingShingle | Lenyuk, M. P. Oleinik, N. P. Ленюк, М. П. Олейник, Н. П. Ленюк, М. П. Олейник, Н. П. On a class of hybrid integral transformations (Bessel-Fourier-Bessel-...-Fourier-Bessel) on the polar axis with $2n$ junction points |
| title | On a class of hybrid integral transformations (Bessel-Fourier-Bessel-...-Fourier-Bessel) on the polar axis with $2n$ junction points |
| title_alt | Один класс гибридных интегральных преобразований (Бесселя - Фурье - Бесселя - ... - Фурье - Бесселя) на полярной оси с $2n$ точками сопряжения |
| title_full | On a class of hybrid integral transformations (Bessel-Fourier-Bessel-...-Fourier-Bessel) on the polar axis with $2n$ junction points |
| title_fullStr | On a class of hybrid integral transformations (Bessel-Fourier-Bessel-...-Fourier-Bessel) on the polar axis with $2n$ junction points |
| title_full_unstemmed | On a class of hybrid integral transformations (Bessel-Fourier-Bessel-...-Fourier-Bessel) on the polar axis with $2n$ junction points |
| title_short | On a class of hybrid integral transformations (Bessel-Fourier-Bessel-...-Fourier-Bessel) on the polar axis with $2n$ junction points |
| title_sort | on a class of hybrid integral transformations (bessel-fourier-bessel-...-fourier-bessel) on the polar axis with $2n$ junction points |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5905 |
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