On a new class of unified reduction formulas for Srivastava’s general triple hypergeometric function F{(3)}[x, y, z]
Very recently, by applying the so called Beta integral method to thewell-known hypergeometric identities due to Bailey and Ramanujan, Choi et al. [Re-duction formula for Srivastava’s triple hypergeometric seriesF(3)[x, y, z], KyungpookMath. J.55(2015), 439–447] have obtained three interesting reduct...
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| Format: | Article |
| Language: | English |
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Faculty of Science, University of Kragujevac
2020
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| Online Access: | http://psasir.upm.edu.my/id/eprint/86967/ http://psasir.upm.edu.my/id/eprint/86967/1/On%20a%20new%20class%20of%20unified%20reduction%20formulas.pdf |
| _version_ | 1848860332782518272 |
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| author | Yong, Sup Kim Kilicman, Adem Rathie, Arjun Kumar |
| author_facet | Yong, Sup Kim Kilicman, Adem Rathie, Arjun Kumar |
| author_sort | Yong, Sup Kim |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Very recently, by applying the so called Beta integral method to thewell-known hypergeometric identities due to Bailey and Ramanujan, Choi et al. [Re-duction formula for Srivastava’s triple hypergeometric seriesF(3)[x, y, z], KyungpookMath. J.55(2015), 439–447] have obtained three interesting reduction formulas forthe Srivastava’s triple hypergeometric series F(3)[x, y, z ].The aim of this paper is to provide three unified reduction formulas for the Sri-vastava’s triple hypergeometric seriesF(3)[x, y, z]from which as many as reductionformulas desired (including those obtained by Choi et al.) can be deduced.In the end, three unified relationships between Srivastava’s triple hypergeometricseries and Kampé de Fériet function have also been given. |
| first_indexed | 2025-11-15T12:43:33Z |
| format | Article |
| id | upm-86967 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:43:33Z |
| publishDate | 2020 |
| publisher | Faculty of Science, University of Kragujevac |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-869672022-09-05T03:45:56Z http://psasir.upm.edu.my/id/eprint/86967/ On a new class of unified reduction formulas for Srivastava’s general triple hypergeometric function F{(3)}[x, y, z] Yong, Sup Kim Kilicman, Adem Rathie, Arjun Kumar Very recently, by applying the so called Beta integral method to thewell-known hypergeometric identities due to Bailey and Ramanujan, Choi et al. [Re-duction formula for Srivastava’s triple hypergeometric seriesF(3)[x, y, z], KyungpookMath. J.55(2015), 439–447] have obtained three interesting reduction formulas forthe Srivastava’s triple hypergeometric series F(3)[x, y, z ].The aim of this paper is to provide three unified reduction formulas for the Sri-vastava’s triple hypergeometric seriesF(3)[x, y, z]from which as many as reductionformulas desired (including those obtained by Choi et al.) can be deduced.In the end, three unified relationships between Srivastava’s triple hypergeometricseries and Kampé de Fériet function have also been given. Faculty of Science, University of Kragujevac 2020-03 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/86967/1/On%20a%20new%20class%20of%20unified%20reduction%20formulas.pdf Yong, Sup Kim and Kilicman, Adem and Rathie, Arjun Kumar (2020) On a new class of unified reduction formulas for Srivastava’s general triple hypergeometric function F{(3)}[x, y, z]. Kragujevac Journal of Mathematics, 44 (1). 65 - 73. ISSN 1450-9628 https://imi.pmf.kg.ac.rs/kjm/en/index.php?page=10.46793/KgJMat2001.065K |
| spellingShingle | Yong, Sup Kim Kilicman, Adem Rathie, Arjun Kumar On a new class of unified reduction formulas for Srivastava’s general triple hypergeometric function F{(3)}[x, y, z] |
| title | On a new class of unified reduction formulas for Srivastava’s general triple hypergeometric function F{(3)}[x, y, z] |
| title_full | On a new class of unified reduction formulas for Srivastava’s general triple hypergeometric function F{(3)}[x, y, z] |
| title_fullStr | On a new class of unified reduction formulas for Srivastava’s general triple hypergeometric function F{(3)}[x, y, z] |
| title_full_unstemmed | On a new class of unified reduction formulas for Srivastava’s general triple hypergeometric function F{(3)}[x, y, z] |
| title_short | On a new class of unified reduction formulas for Srivastava’s general triple hypergeometric function F{(3)}[x, y, z] |
| title_sort | on a new class of unified reduction formulas for srivastava’s general triple hypergeometric function f{(3)}[x, y, z] |
| url | http://psasir.upm.edu.my/id/eprint/86967/ http://psasir.upm.edu.my/id/eprint/86967/ http://psasir.upm.edu.my/id/eprint/86967/1/On%20a%20new%20class%20of%20unified%20reduction%20formulas.pdf |