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Journals / Konuralp Journal of Mathematics / 2023 / Cilt: 11 Sayı: 1

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

Emrah POLATLI
Pages
24–30
Publication Date
2023-04-30
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Lastly, we regain, in a different way, recurrence relation for these finite operator polynomials.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
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Key Findings & Data:Firstly, we obtain the Binet formula, generating function, exponential generating function, Poisson generating function, and binomial sum of $(p,q) -$ Fibonacci finite operator polynomials.
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Conclusion & Impact:Lastly, we regain, in a different way, recurrence relation for these finite operator polynomials.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:q)−Fibonacci polynomials · Binet-like formula · generating function

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.

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Cite This Article

POLATLI, E. (2023). On $(p,q)-$Fibonacci Polynomials Connected with Finite Operators. Konuralp Journal of Mathematics, Cilt: 11 Sayı: 1, 24–30. https://ajindex.com/articles/937900

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