On a generalization of the Gadovan numbers
In this paper, we define (k, l)-Gadovan numbers. We give the Binet-like formula, the generating functions, the exponential generating function of the (k, l)-Gadovan numbers. Also, we derive Cassinilike identity, Catalan-like identity, Vajda-like identity, Honsberger-like identity and D'ocagne-l...
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| Format: | Article |
| Language: | English |
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University of Kragujevac, Faculty of Technical Sciences Čačak
2024-01-01
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| Series: | Mathematica Moravica |
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| Online Access: | https://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2024/1450-59322401109Q.pdf |
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| _version_ | 1850159224523325440 |
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| author | Özkan Engın Eser Engın Uysal Mıne |
| author_facet | Özkan Engın Eser Engın Uysal Mıne |
| author_sort | Özkan Engın |
| collection | DOAJ |
| description | In this paper, we define (k, l)-Gadovan numbers. We give the Binet-like formula, the generating functions, the exponential generating function of the (k, l)-Gadovan numbers. Also, we derive Cassinilike identity, Catalan-like identity, Vajda-like identity, Honsberger-like identity and D'ocagne-like identity for the (k, l)-Gadovan numbers. |
| format | Article |
| id | doaj-art-81fdc04e14ee41e992ba74231c17f09c |
| institution | OA Journals |
| issn | 1450-5932 2560-5542 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | University of Kragujevac, Faculty of Technical Sciences Čačak |
| record_format | Article |
| series | Mathematica Moravica |
| spelling | doaj-art-81fdc04e14ee41e992ba74231c17f09c2025-08-20T02:23:36ZengUniversity of Kragujevac, Faculty of Technical Sciences ČačakMathematica Moravica1450-59322560-55422024-01-0128110911910.5937/MatMor2401109O1450-59322401109QOn a generalization of the Gadovan numbersÖzkan Engın0Eser Engın1Uysal Mıne2Marmara University, Department of Mathematics, İstanbul, TürkiyeErzıncan Bınalı Yıldırım University, Graduate School of Natural and Applied Sciences, Erzıncan, TürkiyeErzıncan Bınalı Yıldırım University, Faculty of Art and Sciences, Department of Mathematics, Erzıncan, TürkiyeIn this paper, we define (k, l)-Gadovan numbers. We give the Binet-like formula, the generating functions, the exponential generating function of the (k, l)-Gadovan numbers. Also, we derive Cassinilike identity, Catalan-like identity, Vajda-like identity, Honsberger-like identity and D'ocagne-like identity for the (k, l)-Gadovan numbers.https://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2024/1450-59322401109Q.pdfgadovan numbersk-gadovan numbersbinet formulagenerating functionscassini identitycatalan identity |
| spellingShingle | Özkan Engın Eser Engın Uysal Mıne On a generalization of the Gadovan numbers Mathematica Moravica gadovan numbers k-gadovan numbers binet formula generating functions cassini identity catalan identity |
| title | On a generalization of the Gadovan numbers |
| title_full | On a generalization of the Gadovan numbers |
| title_fullStr | On a generalization of the Gadovan numbers |
| title_full_unstemmed | On a generalization of the Gadovan numbers |
| title_short | On a generalization of the Gadovan numbers |
| title_sort | on a generalization of the gadovan numbers |
| topic | gadovan numbers k-gadovan numbers binet formula generating functions cassini identity catalan identity |
| url | https://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2024/1450-59322401109Q.pdf |
| work_keys_str_mv | AT ozkanengın onageneralizationofthegadovannumbers AT eserengın onageneralizationofthegadovannumbers AT uysalmıne onageneralizationofthegadovannumbers |