✨
AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Especially, an important relationship between the generalized Modified Pell and Pell-Lucas numbers is discovered.
📌 3 Key Takeaways
🎯
Objective & Hypothesis:This paper deals with the generalizations of the usual Modified Pell numbers and Pell-Lucas and an investigation of their certain identities.
📊
Key Findings & Data:For this purpose, the generalized Modified Pell numbers and Pell-Lucas numbers are created, and appropriate initial conditions for them are presented.
💡
Conclusion & Impact:Especially, an important relationship between the generalized Modified Pell and Pell-Lucas numbers is discovered.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
This paper deals with the generalizations of the usual Modified Pell numbers and Pell-Lucas and an investigation of their certain identities. For this purpose, the generalized Modified Pell numbers and Pell-Lucas numbers are created, and appropriate initial conditions for them are presented. Some sum formulae consisting of the generalized Modified Pell numbers and Pell-Lucas numbers are investigated. A very fundamental features corresponding to these new generalizations are obtained by using matrix representations. Especially, an important relationship between the generalized Modified Pell and Pell-Lucas numbers is discovered.
🔖
Cite This Article
DAŞDEMİR, A. (2016). Generalizations of Modified Pell and Pell-Lucas Sequences and Their Generating Matrices and Some Sums. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 9 - Sayı: 3, 178–184. https://ajindex.com/articles/234002