On Pell, Pell-Lucas, and balancing numbers

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Atıf İçin Kopyala

Gozeri G.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası:
• Basım Tarihi: 2018
• Doi Numarası: 10.1186/s13660-017-1599-1
• Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• İstanbul Üniversitesi Adresli: Evet

Özet

In this paper, we derive some identities on Pell, Pell-Lucas, and balancing numbers and the relationships between them. We also deduce some formulas on the sums, divisibility properties, perfect squares, Pythagorean triples involving these numbers. Moreover, we obtain the set of positive integer solutions of some specific Pell equations in terms of the integer sequences mentioned in the text.