(p q)−Fibonacci polynomials Binet-like formula generating function finite operator tridiagonal determinant.
The aim of this study is to obtain some properties of the $(p,q)-$Fibonacci finite operator polynomials by implementing the finite operator to the $(p,q)-$ Fibonacci polynomials. Firstly, we obtain the Binet formula, generating function, exponential generating function, Poisson generating function, and binomial sum of $(p,q) -$ Fibonacci finite operator polynomials. After that we give determinantal expressions for these finite operator polynomials and their special cases. Lastly, we regain, in a different way, recurrence relation for these finite operator polynomials.
Binet-like formula generating function finite operator tridiagonal determinant. (p,q)-Fibonacci polynomials
Birincil Dil | İngilizce |
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Konular | Matematik |
Bölüm | Articles |
Yazarlar | |
Yayımlanma Tarihi | 30 Nisan 2023 |
Gönderilme Tarihi | 2 Aralık 2022 |
Kabul Tarihi | 7 Nisan 2023 |
Yayımlandığı Sayı | Yıl 2023 Cilt: 11 Sayı: 1 |