Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/7554
Title: Sums of the squares of terms of sequence {u(n)}
Authors: Kılıç, Emrah
Keywords: second order recurrence
sums of squares
generating function
matrix method
Issue Date: 2008
Publisher: Indian Acad Sciences
Abstract: In this paper, we consider generalized Fibonacci type second order linear recurrence {u(n)}. We derive a generating matrix for both the sums of squares, Sigma(n)(i=0) u(i)(2) and the products of the form u(n)u(n+2). We also derive explicit formulas for the sums and products by using matrix methods. Then we give a matrix method to generate the sums of product of two consecutive terms u(n)u(n+1) as well as the product, u(n)u(n+2). Further we give generating functions and combinatorial representations of the sums of squares of terms of {u(n)} and the product, u(n)u(n+2).
URI: https://doi.org/10.1007/s12044-008-0003-y
https://hdl.handle.net/20.500.11851/7554
ISSN: 0253-4142
0973-7685
Appears in Collections:Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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