On an unified reduction formula for Srivastava's triple hypergeometric series F(3)[x, y, z]
Very recently, by applying the so-called Beta integral method to the Henrici’s triple product formula for the generalized hypergeometric series, Choi, et al.[Commun. Korean Math. Soc. 28(2013), No.2, pp. 297-301] have obtained an interesting reduction formula for the Srivastava’s triple hypergeometr...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
BISKA
2018
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| Online Access: | http://psasir.upm.edu.my/id/eprint/75122/ http://psasir.upm.edu.my/id/eprint/75122/1/On%20an%20unified.pdf |
| _version_ | 1848857609720823808 |
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| author | Yong, Sup Kim Kilicman, Adem Rathie, A. K. |
| author_facet | Yong, Sup Kim Kilicman, Adem Rathie, A. K. |
| author_sort | Yong, Sup Kim |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Very recently, by applying the so-called Beta integral method to the Henrici’s triple product formula for the generalized hypergeometric series, Choi, et al.[Commun. Korean Math. Soc. 28(2013), No.2, pp. 297-301] have obtained an interesting reduction formula for the Srivastava’s triple hypergeometric series F⁽ᶟ⁾[x,y,z]. The aim of this short note is to provide a unified reduction formula for the Srivastava’s triple hyper geometric series from which as many new reduction formulas (including the one obtained by Choi, etal.) as desired can be deduced. A few interesing special cases have also been given. |
| first_indexed | 2025-11-15T12:00:17Z |
| format | Article |
| id | upm-75122 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:00:17Z |
| publishDate | 2018 |
| publisher | BISKA |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-751222020-02-26T09:17:52Z http://psasir.upm.edu.my/id/eprint/75122/ On an unified reduction formula for Srivastava's triple hypergeometric series F(3)[x, y, z] Yong, Sup Kim Kilicman, Adem Rathie, A. K. Very recently, by applying the so-called Beta integral method to the Henrici’s triple product formula for the generalized hypergeometric series, Choi, et al.[Commun. Korean Math. Soc. 28(2013), No.2, pp. 297-301] have obtained an interesting reduction formula for the Srivastava’s triple hypergeometric series F⁽ᶟ⁾[x,y,z]. The aim of this short note is to provide a unified reduction formula for the Srivastava’s triple hyper geometric series from which as many new reduction formulas (including the one obtained by Choi, etal.) as desired can be deduced. A few interesing special cases have also been given. BISKA 2018 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/75122/1/On%20an%20unified.pdf Yong, Sup Kim and Kilicman, Adem and Rathie, A. K. (2018) On an unified reduction formula for Srivastava's triple hypergeometric series F(3)[x, y, z]. New Trends in Mathematical Sciences, 6 (2). pp. 297-301. ISSN 2147-5520 10.20852/ntmsci.2018.264 |
| spellingShingle | Yong, Sup Kim Kilicman, Adem Rathie, A. K. On an unified reduction formula for Srivastava's triple hypergeometric series F(3)[x, y, z] |
| title | On an unified reduction formula for Srivastava's triple hypergeometric series F(3)[x, y, z] |
| title_full | On an unified reduction formula for Srivastava's triple hypergeometric series F(3)[x, y, z] |
| title_fullStr | On an unified reduction formula for Srivastava's triple hypergeometric series F(3)[x, y, z] |
| title_full_unstemmed | On an unified reduction formula for Srivastava's triple hypergeometric series F(3)[x, y, z] |
| title_short | On an unified reduction formula for Srivastava's triple hypergeometric series F(3)[x, y, z] |
| title_sort | on an unified reduction formula for srivastava's triple hypergeometric series f(3)[x, y, z] |
| url | http://psasir.upm.edu.my/id/eprint/75122/ http://psasir.upm.edu.my/id/eprint/75122/ http://psasir.upm.edu.my/id/eprint/75122/1/On%20an%20unified.pdf |