Bernoulli F-polynomials and Fibo–Bernoulli matrices
Yazarlar (3)
Dr. Öğr. Üyesi Semra KUŞ
Kırşehir Ahi Evran Üniversitesi, Türkiye
Naim Tuğlu
Gazi Üniversitesi, Türkiye
Taekyun Kim
Kwangwoon University, Güney Kore
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Advances in Difference Equations (Q1) | ||
| Dergi ISSN | 1687-1839 | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 04-2019 |
| Cilt / Sayı / Sayfa | 2019 / 1 / – | DOI | 10.1186/s13662-019-2084-6 |
| Makale Linki | https://doi.org/10.1186/s13662-019-2084-6 | ||
| Özet |
| In this article, we define the Euler–Fibonacci numbers, polynomials and their exponential generating function. Several relations are established involving the Bernoulli F-polynomials, the Euler–Fibonacci numbers and the Euler–Fibonacci polynomials. A new exponential generating function is obtained for the Bernoulli F-polynomials. Also, we describe the Fibo–Bernoulli matrix, the Fibo–Euler matrix and the Fibo–Euler polynomial matrix by using the Bernoulli F-polynomials, the Euler–Fibonacci numbers and the Euler–Fibonacci polynomials, respectively. Factorization of the Fibo–Bernoulli matrix is obtained by using the generalized Fibo–Pascal matrix and a special matrix whose entries are the Bernoulli–Fibonacci numbers. The inverse of the Fibo–Bernoulli matrix is also found. |
| Anahtar Kelimeler |
| Bernoulli F-polynomials | Bernoulli matrices | Bernoulli polynomials | Euler–Fibonacci numbers | Generating function |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 16 |
| SCOPUS | 22 |
| Google Scholar | 32 |