On Pell, Pell-Lucas, and balancing numbers

被引：2
|
作者：
Gozeri, Gul Karadeniz [1 ]
机构：
[1] Istanbul Univ, Fac Sci, Dept Math, Istanbul, Turkey
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2018年
关键词：
Pell numbers; Pell-Lucas numbers; balancing numbers; perfect squares; divisibility properties; Pell equations;
D O I：
10.1186/s13660-017-1599-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：16
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