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Global Journal of Mathematical Analysis
Article . 2014 . Peer-reviewed
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Generalized Fibonacci – Lucas sequence its Properties

Authors: Mamta Singh; Yogesh Gupta; Omprakash Sikhwal;

Generalized Fibonacci – Lucas sequence its Properties

Abstract

S equences have been fascinating topic for mathematicians for centuries. The Fibonacci sequences are a source of many nice and interesting identities . A similar interpretation exists for Lucas sequence. The Fibonacci number, Lucas numbers and their generalization have many interesting properties and applications to almost every field. Fibonacci sequence is defined by the recurrence formula and , where are an n th number of sequences. The Lucas Sequence is defined by the recurrence formula and , where an nth number of sequences are. In this paper, we present generalized Fibonacci-Lucas sequence that is defined by the recurrence relation , with B0= 2s, B1 = s . We present some standard identities and determinant identities of generalized Fibonacci-Lucas sequences by Binets formula and other simple methods. Keywords : Fibonacci sequence, Lucas Sequence, Generalized Fibonacci sequence, Binets Formula.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
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