On $(p,q)-$Fibonacci Polynomials Connected with Finite Operators

Anahtar Kelimeler:

(p, q)−Fibonacci polynomials, Binet-like formula, generating function, finite operator, tridiagonal determinant.

On $(p,q)-$Fibonacci Polynomials Connected with Finite Operators

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:

Binet-like formula, generating function, finite operator, tridiagonal determinant., (p, q)-Fibonacci polynomials,

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