Volume 4,  Issue 5, 2003

Article 83

RATIONAL IDENTITIES AND INEQUALITIES INVOLVING FIBONACCI AND LUCAS NUMBERS

JOSÉ LUIS DÍAZ-BARRERO

APPLIED MATHEMATICS III 
UNIVERSITAT POLITÉCNICA DE CATALUNYA
JORDI GIRONA 1-3, C2,
08034 BARCELONA, SPAIN.
E-Mail: jose.luis.diaz@upc.es

Received 21 May, 2003; Accepted 21 August, 2003.
Communicated by: J. Sándor

ABSTRACT.   In this paper we use integral calculus, complex variable techniques and some classical inequalities to establish rational identities and inequalities involving Fibonacci and Lucas numbers.
Key words:
Rational Identities and Inequalities, Sequences of Integers, Fibonacci and Lucas numbers.

2000 Mathematics Subject Classification:
05A19, 11B39.

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