- Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi
- Vol: 9 Issue: 3 - Vol: 9 Issue: 3
- Generalizations of Modified Pell and Pell-Lucas Sequences and Their Generating Matrices and Some Sum...
Generalizations of Modified Pell and Pell-Lucas Sequences and Their Generating Matrices and Some Sums
Authors : Ahmet Daşdemir
Pages : 178-184
View : 5 | Download : 2
Publication Date : 2016-12-29
Article Type : Other
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.Keywords :