Calculation of Bessel functions by using continued fractions
We propose a new method for the calculation of Bessel functions of the first kind of integral order. By using the Laplace transformation, we solve a linear differential equation that defines the generating function for the Bessel functions expressed in terms of continued fractions.
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| Datum: | 1995 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1995
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5564 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511795615105024 |
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| author | Valeyev, K. G. Kostinskii, O. Ya. Валеев, К. Г. Костинский, О. Я. Валеев, К. Г. Костинский, О. Я. |
| author_facet | Valeyev, K. G. Kostinskii, O. Ya. Валеев, К. Г. Костинский, О. Я. Валеев, К. Г. Костинский, О. Я. |
| author_sort | Valeyev, K. G. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:13:33Z |
| description | We propose a new method for the calculation of Bessel functions of the first kind of integral order. By using the Laplace transformation, we solve a linear differential equation that defines the generating function for the Bessel functions expressed in terms of continued fractions. |
| first_indexed | 2026-03-24T03:18:34Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5564 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:18:34Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/a3/1c21f70791c68dd6920c8864c2bd67a3.pdf |
| spelling | umjimathkievua-article-55642020-03-19T09:13:33Z Calculation of Bessel functions by using continued fractions Вычисление функций Бесселя с помощью непрерывных дробей Valeyev, K. G. Kostinskii, O. Ya. Валеев, К. Г. Костинский, О. Я. Валеев, К. Г. Костинский, О. Я. We propose a new method for the calculation of Bessel functions of the first kind of integral order. By using the Laplace transformation, we solve a linear differential equation that defines the generating function for the Bessel functions expressed in terms of continued fractions. Запропоновано новий спосіб обчислення функцій Бесселя першого роду цілого порядку. За допомогою перетворення Лапласа розв’язується лінійне диференціальне рівняння, яке визначає твірну функцій Бесселя, що виражаються через неперервні дроби. Institute of Mathematics, NAS of Ukraine 1995-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5564 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 12 (1995); 1704–1705 Український математичний журнал; Том 47 № 12 (1995); 1704–1705 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5564/7816 https://umj.imath.kiev.ua/index.php/umj/article/view/5564/7817 Copyright (c) 1995 Valeyev K. G.; Kostinskii O. Ya. |
| spellingShingle | Valeyev, K. G. Kostinskii, O. Ya. Валеев, К. Г. Костинский, О. Я. Валеев, К. Г. Костинский, О. Я. Calculation of Bessel functions by using continued fractions |
| title | Calculation of Bessel functions by using continued fractions |
| title_alt | Вычисление функций Бесселя с помощью непрерывных дробей |
| title_full | Calculation of Bessel functions by using continued fractions |
| title_fullStr | Calculation of Bessel functions by using continued fractions |
| title_full_unstemmed | Calculation of Bessel functions by using continued fractions |
| title_short | Calculation of Bessel functions by using continued fractions |
| title_sort | calculation of bessel functions by using continued fractions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5564 |
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