Generalizations of Modified Pell and Pell-Lucas Sequences and Their Generating Matrices and Some Sums

Authors : Ahmet DAŞDEMİR

Pages : 178-184

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Publication Date : 2016-12-29

Article Type : Research Paper

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.
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