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

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Konuralp Journal of Mathematics
Volume: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 : 12 | Download : 9

Publication Date : 2023-04-30

Article Type : Research Paper

Abstract :The aim of this study is to obtain some properties of the $insert ignore into journalissuearticles values(p,q);-$Fibonacci finite operator polynomials by implementing the finite operator to the $insert ignore into journalissuearticles values(p,q);-$ Fibonacci polynomials. Firstly, we obtain the Binet formula, generating function, exponential generating function, Poisson generating function, and binomial sum of $insert ignore into journalissuearticles values(p,q); -$ 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

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