Hybrid Numbers with Fibonacci and Lucas Hybrid Number Coefficients
In this paper, we introduce hybrid numbers with Fibonacci and Lucas hybrid number coefficients. We give the Binet formulas, generating functions, and exponential generating functions for these numbers. Then we define an associate matrix for these numbers. In addition, using this matrix, we present t...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Emrah Evren KARA
2023-09-01
|
| Series: | Universal Journal of Mathematics and Applications |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/3316222 |
| _version_ | 1827381459650871296 |
|---|---|
| author | Emrah Polatlı |
| author_facet | Emrah Polatlı |
| author_sort | Emrah Polatlı |
| collection | DOAJ |
| description | In this paper, we introduce hybrid numbers with Fibonacci and Lucas hybrid number coefficients. We give the Binet formulas, generating functions, and exponential generating functions for these numbers. Then we define an associate matrix for these numbers. In addition, using this matrix, we present two different versions of Cassini identity of these numbers. |
| first_indexed | 2024-03-08T13:56:32Z |
| format | Article |
| id | doaj.art-de1336eada774d08a4770f8a5a219fcc |
| institution | Directory Open Access Journal |
| issn | 2619-9653 |
| language | English |
| last_indexed | 2024-03-08T13:56:32Z |
| publishDate | 2023-09-01 |
| publisher | Emrah Evren KARA |
| record_format | Article |
| series | Universal Journal of Mathematics and Applications |
| spelling | doaj.art-de1336eada774d08a4770f8a5a219fcc2024-01-15T15:16:03ZengEmrah Evren KARAUniversal Journal of Mathematics and Applications2619-96532023-09-016310611310.32323/ujma.13396031225Hybrid Numbers with Fibonacci and Lucas Hybrid Number CoefficientsEmrah Polatlı0ZONGULDAK BÜLENT ECEVİT ÜNİVERSİTESİIn this paper, we introduce hybrid numbers with Fibonacci and Lucas hybrid number coefficients. We give the Binet formulas, generating functions, and exponential generating functions for these numbers. Then we define an associate matrix for these numbers. In addition, using this matrix, we present two different versions of Cassini identity of these numbers.https://dergipark.org.tr/tr/download/article-file/3316222binet formulafibonacci hybrid numbersgenerating functionlucas hybrid numbersmatrix method |
| spellingShingle | Emrah Polatlı Hybrid Numbers with Fibonacci and Lucas Hybrid Number Coefficients Universal Journal of Mathematics and Applications binet formula fibonacci hybrid numbers generating function lucas hybrid numbers matrix method |
| title | Hybrid Numbers with Fibonacci and Lucas Hybrid Number Coefficients |
| title_full | Hybrid Numbers with Fibonacci and Lucas Hybrid Number Coefficients |
| title_fullStr | Hybrid Numbers with Fibonacci and Lucas Hybrid Number Coefficients |
| title_full_unstemmed | Hybrid Numbers with Fibonacci and Lucas Hybrid Number Coefficients |
| title_short | Hybrid Numbers with Fibonacci and Lucas Hybrid Number Coefficients |
| title_sort | hybrid numbers with fibonacci and lucas hybrid number coefficients |
| topic | binet formula fibonacci hybrid numbers generating function lucas hybrid numbers matrix method |
| url | https://dergipark.org.tr/tr/download/article-file/3316222 |
| work_keys_str_mv | AT emrahpolatlı hybridnumberswithfibonacciandlucashybridnumbercoefficients |