Title of article
New Generalizations of Lucas Numbers
Author/Authors
Kaygısız، Kenan نويسنده Faculty of Arts and Sciences,Department of Mathematics,Gaziosmanpasa University,Tokat,Turkey , , Şahin، Adem نويسنده Faculty of Arts and Sciences,Department of Mathematics,Gaziosmanpasa University,Tokat,Turkey ,
Issue Information
ماهنامه با شماره پیاپی سال 2012
Pages
15
From page
63
To page
77
Abstract
In this paper, we present new generalizations of the Lucas numbers by matrix representation, using
Generalized Lucas Polynomials. These new generalizations include more powerful relationships with generalizations of Fibonacci
numbers. We give some properties of these new generalizations and
obtain some relations between the generalized order-k Lucas
numbers and the generalized order-k Fibonacci numbers. In
addition, we obtain Binet formula and combinatorial representation
for generalized order-k Lucas numbers by using properties of
generalized Fibonacci numbers.
Keywords
k sequences of the generalized order-k Fibonacci numbers , k sequences of the generalized order-k Lucas numbers , Fibonacci numbers , Lucas numbers
Journal title
General Mathematics Notes
Serial Year
2012
Journal title
General Mathematics Notes
Record number
2403904
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