- Konuralp Journal of Mathematics
- Vol: 11 Issue: 1
- On $(p,q)-$Fibonacci Polynomials Connected with Finite Operators
On $(p,q)-$Fibonacci Polynomials Connected with Finite Operators
Authors : Emrah Polatli
Pages : 24-30
View : 8 | Download : 5
Publication Date : 2023-04-30
Article Type : Research
Abstract :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.Keywords : (p, q)−Fibonacci polynomials, Binet-like formula, generating function, finite operator, tridiagonal determinant.