TY  - JOUR
TT  - Generalizations of Modified Pell and Pell-Lucas Sequences and Their Generating Matrices and Some Sums
AU  - Daşdemir, Ahmet
PY  - 2016
DA  - December
JF  - Erzincan University Journal of Science and Technology
PB  - Erzincan Binali Yildirim University
WT  - DergiPark
SN  - 2149-4584
SP  - 178
EP  - 184
VL  - 9
IS  - 3
N2  - 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.
UR  - https://dergipark.org.tr/en/pub/erzifbed/issue//373020
L1  - https://dergipark.org.tr/en/download/article-file/395741
ER  -