A note on generalizations of Bailey's identity involving products of generalized hypergeometric series
In the theory of hypergeometric and generalized hypergeometric series, the well-known and very useful identity due to Bailey (which is a generalization of the Preece's identity) plays an important role. The aim of this research paper is to provide generalizations of Bailey's identity invol...
| Main Authors: | , , |
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| Format: | Article |
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Korean Mathematical Society
2022
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| Online Access: | http://psasir.upm.edu.my/id/eprint/100260/ |
| _version_ | 1848863277047611392 |
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| author | Kilicman, Adem Kurumujji, Shantha Kumari Rathie, Arjun K. |
| author_facet | Kilicman, Adem Kurumujji, Shantha Kumari Rathie, Arjun K. |
| author_sort | Kilicman, Adem |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In the theory of hypergeometric and generalized hypergeometric series, the well-known and very useful identity due to Bailey (which is a generalization of the Preece's identity) plays an important role. The aim of this research paper is to provide generalizations of Bailey's identity involving products of generalized hypergeometric series in the most general form. A few known, as well as new results, have also been obtained as special cases of our main findings. |
| first_indexed | 2025-11-15T13:30:21Z |
| format | Article |
| id | upm-100260 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T13:30:21Z |
| publishDate | 2022 |
| publisher | Korean Mathematical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1002602024-07-09T03:13:55Z http://psasir.upm.edu.my/id/eprint/100260/ A note on generalizations of Bailey's identity involving products of generalized hypergeometric series Kilicman, Adem Kurumujji, Shantha Kumari Rathie, Arjun K. In the theory of hypergeometric and generalized hypergeometric series, the well-known and very useful identity due to Bailey (which is a generalization of the Preece's identity) plays an important role. The aim of this research paper is to provide generalizations of Bailey's identity involving products of generalized hypergeometric series in the most general form. A few known, as well as new results, have also been obtained as special cases of our main findings. Korean Mathematical Society 2022-04 Article PeerReviewed Kilicman, Adem and Kurumujji, Shantha Kumari and Rathie, Arjun K. (2022) A note on generalizations of Bailey's identity involving products of generalized hypergeometric series. Communication of the Korean Mathematical Society, 37 (2). pp. 575-583. ISSN 1225-1763; ESSN: 2234-3024 https://ckms.kms.or.kr/journal/view.html?doi=10.4134/CKMS.c210178 10.4134/CKMS.c210178 |
| spellingShingle | Kilicman, Adem Kurumujji, Shantha Kumari Rathie, Arjun K. A note on generalizations of Bailey's identity involving products of generalized hypergeometric series |
| title | A note on generalizations of Bailey's identity involving products of generalized hypergeometric series |
| title_full | A note on generalizations of Bailey's identity involving products of generalized hypergeometric series |
| title_fullStr | A note on generalizations of Bailey's identity involving products of generalized hypergeometric series |
| title_full_unstemmed | A note on generalizations of Bailey's identity involving products of generalized hypergeometric series |
| title_short | A note on generalizations of Bailey's identity involving products of generalized hypergeometric series |
| title_sort | note on generalizations of bailey's identity involving products of generalized hypergeometric series |
| url | http://psasir.upm.edu.my/id/eprint/100260/ http://psasir.upm.edu.my/id/eprint/100260/ http://psasir.upm.edu.my/id/eprint/100260/ |