Remarks on Green function of space-fractional biharmonic heat equation using Ramanujan’s master theorem
In this paper, we show an addition formula for a class of Mellin transformable functions using Ramanujan’s master theorem. Also, we get the associated addition formula of Gaussian functions in terms of the Bessel functions and Green function of the space-fractional biharmonic heat equation is obtai...
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| Format: | Article |
| Language: | English |
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Elsevier
2017-11-01
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| Series: | Kuwait Journal of Science |
| Online Access: | https://journalskuwait.org/kjs/index.php/KJS/article/view/1641 |
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| _version_ | 1849471163407794176 |
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| author | Alireza Ansari |
| author_facet | Alireza Ansari |
| author_sort | Alireza Ansari |
| collection | DOAJ |
| description |
In this paper, we show an addition formula for a class of Mellin transformable functions using Ramanujan’s master theorem. Also, we get the associated addition formula of Gaussian functions in terms of the Bessel functions and Green function of the space-fractional biharmonic heat equation is obtained with respect to the quartic Levy stable functions.
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| format | Article |
| id | doaj-art-79997fbc83164f2283aa2cd1352c744d |
| institution | Kabale University |
| issn | 2307-4108 2307-4116 |
| language | English |
| publishDate | 2017-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Kuwait Journal of Science |
| spelling | doaj-art-79997fbc83164f2283aa2cd1352c744d2025-08-20T03:24:56ZengElsevierKuwait Journal of Science2307-41082307-41162017-11-01444Remarks on Green function of space-fractional biharmonic heat equation using Ramanujan’s master theoremAlireza Ansari In this paper, we show an addition formula for a class of Mellin transformable functions using Ramanujan’s master theorem. Also, we get the associated addition formula of Gaussian functions in terms of the Bessel functions and Green function of the space-fractional biharmonic heat equation is obtained with respect to the quartic Levy stable functions. https://journalskuwait.org/kjs/index.php/KJS/article/view/1641 |
| spellingShingle | Alireza Ansari Remarks on Green function of space-fractional biharmonic heat equation using Ramanujan’s master theorem Kuwait Journal of Science |
| title | Remarks on Green function of space-fractional biharmonic heat equation using Ramanujan’s master theorem |
| title_full | Remarks on Green function of space-fractional biharmonic heat equation using Ramanujan’s master theorem |
| title_fullStr | Remarks on Green function of space-fractional biharmonic heat equation using Ramanujan’s master theorem |
| title_full_unstemmed | Remarks on Green function of space-fractional biharmonic heat equation using Ramanujan’s master theorem |
| title_short | Remarks on Green function of space-fractional biharmonic heat equation using Ramanujan’s master theorem |
| title_sort | remarks on green function of space fractional biharmonic heat equation using ramanujan s master theorem |
| url | https://journalskuwait.org/kjs/index.php/KJS/article/view/1641 |
| work_keys_str_mv | AT alirezaansari remarksongreenfunctionofspacefractionalbiharmonicheatequationusingramanujansmastertheorem |