A Note on Generalization of Combinatorial Identities Due to Gould and Touchard
Using a hypergeometric series approach, a general combinatorial identity is found in this note, and among its special cases are well-known and classical combinatorial identities due to Gould and Touchard.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-03-01
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| Series: | Axioms |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-1680/12/3/268 |
| _version_ | 1797613522466635776 |
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| author | Arjun K. Rathie Dongkyu Lim |
| author_facet | Arjun K. Rathie Dongkyu Lim |
| author_sort | Arjun K. Rathie |
| collection | DOAJ |
| description | Using a hypergeometric series approach, a general combinatorial identity is found in this note, and among its special cases are well-known and classical combinatorial identities due to Gould and Touchard. |
| first_indexed | 2024-03-11T06:56:54Z |
| format | Article |
| id | doaj.art-ddfbbf87751d4512a9044938578b7746 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-11T06:56:54Z |
| publishDate | 2023-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-ddfbbf87751d4512a9044938578b77462023-11-17T09:35:07ZengMDPI AGAxioms2075-16802023-03-0112326810.3390/axioms12030268A Note on Generalization of Combinatorial Identities Due to Gould and TouchardArjun K. Rathie0Dongkyu Lim1Department of Mathematics, Vedant College of Engineering & Technology, Rajasthan Technical University, Bundi 323021, IndiaDepartment of Mathematics Education, Andong National University, Andong 36729, Republic of KoreaUsing a hypergeometric series approach, a general combinatorial identity is found in this note, and among its special cases are well-known and classical combinatorial identities due to Gould and Touchard.https://www.mdpi.com/2075-1680/12/3/268combinatorial identitiesGouldTouchardhypergeometric seriesGauss summation theorem |
| spellingShingle | Arjun K. Rathie Dongkyu Lim A Note on Generalization of Combinatorial Identities Due to Gould and Touchard Axioms combinatorial identities Gould Touchard hypergeometric series Gauss summation theorem |
| title | A Note on Generalization of Combinatorial Identities Due to Gould and Touchard |
| title_full | A Note on Generalization of Combinatorial Identities Due to Gould and Touchard |
| title_fullStr | A Note on Generalization of Combinatorial Identities Due to Gould and Touchard |
| title_full_unstemmed | A Note on Generalization of Combinatorial Identities Due to Gould and Touchard |
| title_short | A Note on Generalization of Combinatorial Identities Due to Gould and Touchard |
| title_sort | note on generalization of combinatorial identities due to gould and touchard |
| topic | combinatorial identities Gould Touchard hypergeometric series Gauss summation theorem |
| url | https://www.mdpi.com/2075-1680/12/3/268 |
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