On Pell, Pell-Lucas, and balancing numbers


Gozeri G.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018 (SCI İndekslerine Giren Dergi) identifier identifier identifier

  • 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

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.