Extensions of Certain Classical Summation Theorems for the Series F, F, and F with Applications in Ramanujan's Summations
Motivated by the extension of classical Gauss's summation theorem for the series . As applications, certain very interesting summations due to Ramanujan have been generalized. The results derived in this paper are simple, interesting, easily established, and may be useful.F
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2010/309503 |
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| _version_ | 1832565250162950144 |
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| author | Yong Sup Kim Medhat A. Rakha Arjun K. Rathie |
| author_facet | Yong Sup Kim Medhat A. Rakha Arjun K. Rathie |
| author_sort | Yong Sup Kim |
| collection | DOAJ |
| description | Motivated by the extension of classical Gauss's summation theorem for the series . As applications, certain very interesting summations due to Ramanujan have been generalized. The results derived in this paper are simple, interesting, easily established, and may be useful.F |
| format | Article |
| id | doaj-art-97bfb9faec154f6bbdf5405b8e7e47b3 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-97bfb9faec154f6bbdf5405b8e7e47b32025-02-03T01:08:51ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/309503309503Extensions of Certain Classical Summation Theorems for the Series F, F, and F with Applications in Ramanujan's SummationsYong Sup Kim0Medhat A. Rakha1Arjun K. Rathie2Department of Mathematics Education, Wonkwang University, Iksan 570-749, Republic of KoreaMathematics Department, College of Science, Suez Canal University, Ismailia 41522, EgyptVedant College of Engineering and Technology, Village-Tulsi, Post-Jakhmund, Bundi, Rajasthan State 323021, IndiaMotivated by the extension of classical Gauss's summation theorem for the series . As applications, certain very interesting summations due to Ramanujan have been generalized. The results derived in this paper are simple, interesting, easily established, and may be useful.Fhttp://dx.doi.org/10.1155/2010/309503 |
| spellingShingle | Yong Sup Kim Medhat A. Rakha Arjun K. Rathie Extensions of Certain Classical Summation Theorems for the Series F, F, and F with Applications in Ramanujan's Summations International Journal of Mathematics and Mathematical Sciences |
| title | Extensions of Certain Classical Summation Theorems for the Series F, F, and F with Applications in Ramanujan's Summations |
| title_full | Extensions of Certain Classical Summation Theorems for the Series F, F, and F with Applications in Ramanujan's Summations |
| title_fullStr | Extensions of Certain Classical Summation Theorems for the Series F, F, and F with Applications in Ramanujan's Summations |
| title_full_unstemmed | Extensions of Certain Classical Summation Theorems for the Series F, F, and F with Applications in Ramanujan's Summations |
| title_short | Extensions of Certain Classical Summation Theorems for the Series F, F, and F with Applications in Ramanujan's Summations |
| title_sort | extensions of certain classical summation theorems for the series f f and f with applications in ramanujan s summations |
| url | http://dx.doi.org/10.1155/2010/309503 |
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