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

daşdemir, ahmet

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

Ahmet DAŞDEMİR (Kastamonu University)

Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi

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Yıl: 2016 Cilt: 9 Sayı: 3 Sayfa Aralığı: 178 - 184 Metin Dili: Türkçe İndeks Tarihi: 29-07-2022

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

Öz:

Bu çalışma alışılmış Modifiye Pell ve Pell-Lucas dizilerinin genelleştirilmelerini ve onların bazı özelliklerinin bir incelenmesini ele almaktadır. Bu amaçla genelleştirilmiş Modifiye Pell ve Pell-Lucas dizileri oluşturuluyor ve onlar için uygun başlangıç koşulları sunuluyor. Genelleştirilmiş Pell-Lucas ve Modifiye Pell dizilerinden oluşan bazı toplam formülleri inceleniyor. Matris gösterimleri kullanılarak bu yeni genelleştirmelerle ilgili bazı temel özdeşlikler elde ediliyor. Özellikle genelleştirilmiş Modifiye Pell ve Pell-Lucas dizileri arasında önemli bir bağıntı keşfediliyor

Anahtar Kelime:

Modifiye Pell ve Pell-Lucas Dizilerinin Genelleştirilmesi ve Onların Üreteç Matrisleri ve Bazı Toplamları

Öz:

This paper deals with the generalizations of the usual Modified Pell and Pell-Lucas sequences and an investigation of their certain identities. For this purpose, the generalized Modified Pell and Pell-Lucas sequences are created, and appropriate initial conditions for them are presented. Some sum formulae consisting of the generalized Modified Pell and Pell-Lucas sequences 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 PellLucas sequence is discovered

Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	daşdemir a (2016). Generalizations of Modified Pell and Pell-Lucas Sequences and Their Generating Matrices and Some Sums. , 178 - 184.
Chicago	daşdemir ahmet Generalizations of Modified Pell and Pell-Lucas Sequences and Their Generating Matrices and Some Sums. (2016): 178 - 184.
MLA	daşdemir ahmet Generalizations of Modified Pell and Pell-Lucas Sequences and Their Generating Matrices and Some Sums. , 2016, ss.178 - 184.
AMA	daşdemir a Generalizations of Modified Pell and Pell-Lucas Sequences and Their Generating Matrices and Some Sums. . 2016; 178 - 184.
Vancouver	daşdemir a Generalizations of Modified Pell and Pell-Lucas Sequences and Their Generating Matrices and Some Sums. . 2016; 178 - 184.
IEEE	daşdemir a "Generalizations of Modified Pell and Pell-Lucas Sequences and Their Generating Matrices and Some Sums." , ss.178 - 184, 2016.
ISNAD	daşdemir, ahmet. "Generalizations of Modified Pell and Pell-Lucas Sequences and Their Generating Matrices and Some Sums". (2016), 178-184.

APA	daşdemir a (2016). Generalizations of Modified Pell and Pell-Lucas Sequences and Their Generating Matrices and Some Sums. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 9(3), 178 - 184.
Chicago	daşdemir ahmet Generalizations of Modified Pell and Pell-Lucas Sequences and Their Generating Matrices and Some Sums. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi 9, no.3 (2016): 178 - 184.
MLA	daşdemir ahmet Generalizations of Modified Pell and Pell-Lucas Sequences and Their Generating Matrices and Some Sums. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol.9, no.3, 2016, ss.178 - 184.
AMA	daşdemir a Generalizations of Modified Pell and Pell-Lucas Sequences and Their Generating Matrices and Some Sums. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2016; 9(3): 178 - 184.
Vancouver	daşdemir a Generalizations of Modified Pell and Pell-Lucas Sequences and Their Generating Matrices and Some Sums. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2016; 9(3): 178 - 184.
IEEE	daşdemir a "Generalizations of Modified Pell and Pell-Lucas Sequences and Their Generating Matrices and Some Sums." Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 9, ss.178 - 184, 2016.
ISNAD	daşdemir, ahmet. "Generalizations of Modified Pell and Pell-Lucas Sequences and Their Generating Matrices and Some Sums". Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi 9/3 (2016), 178-184.