ON THE PELL, PELL-LUCAS, JACOBSTHAL AND JACOBSTHAL-LUCAS POLYNOMIALS

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Thesis Type: Postgraduate

Institution Of The Thesis: Gazi University, Fen Bilimleri Enstitüsü, Turkey

Approval Date: 2008

Thesis Language: Turkish

Student: Aysen Tugba BİRİNCİ

Supervisor: DURSUN TAŞCI

Abstract:

In this study, by describing properties characteristic of Pell, Pell-Lucas, Jacobsthal and Jacobsthal-Lucas polynomials, Binet formulas of these polynomials are examined with the help of recurrence relations. Additionally, by finding the generating functions through the reference of serials, some identities which contain these polynomials are obtained. By means of the generating matrices of Pell and Pell-Lucas polynomials some identities which have polynomials are demonstrated. By constituting Pascal-like display that generate Pell and Pell-Lucas polynomials, the combinatorial properties of these polynomials are scrutinized according to the odd an even of degree of x . Finally, the n × n matrices whose determinants obtain Pell, Pell-Lucas, Jacobsthal and Jacobsthal-Lucas polynomials are derived.