Work

Generalizations of Modified Pell and Pell-Lucas Sequences and Their Generating Matrices and Some Sums

Year: 2016

Type: article

Abstract: This paper deals with the generalizations of the usual Modified Pell numbers and Pell-Lucas and an investigation of their certain identities. For this purpose, the generalized Modified Pell numbers and Pell-Lucas numbers are created, and appropriate initial conditions for them are presented. Some sum formulae consisting of the generalized Modified Pell numbers and Pell-Lucas numbers are investigated. A very fundamental features corresponding to these new generalizations are obtained by using matrix representations. Especially, an important relationship between the generalized Modified Pell and Pell-Lucas numbers is discovered.

Source: Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi

DOI: 10.18185/eufbed.84441

Author: Ahmet Daşdemir

Institution: Kastamonu University

Language: English

Topic: Advanced Mathematical Theories and Applications

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W2593850996

FWCI:

Cites: 3

Cited by: 3

Related to: 10