Connections between Fibonacci and Pell numbers

被引：0

作者：

Merca, Mircea ^{[1
,2
]}

机构：

[1] Univ Craiova, Dept Math, Craiova 200585, Romania

[2] Acad Romanian Scientist, Ilfov 3,Sect 5, Bucharest, Romania

来源：

NOTE DI MATEMATICA | 2020年 / 40卷 / 02期

关键词：

Fibonacci numbers; Pell numbers; congruences;

D O I：

10.1285/i15900932v40n2p53

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce several convolution identities that combine Fibonacci and Pell numbers. Congruence relations involving Fibonacci and Pell numbers follow as corollaries.

引用

页码：53 / 61

页数：9

共 9 条

[1] Bicknell M., 1970, The Fibonacci Quarterly, V8, P407
[2] FIBONACCI AND LUCAS POLYNOMIALS
DOMAN, BGS
WILLIAMS, JK
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1981, 90 (NOV) : 385 - 387
[3] NOVEL PROPERTIES OF FIBONACCI AND LUCAS POLYNOMIALS
GALVEZ, FJ
DEHESA, JS
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1985, 97 (JAN) : 159 - 164
[4] Hoggatt V. E., 1973, Fibonacci Quarterly, V11, P271
[5] Honsberger R., 1985, MATH GEMS
[6] Koshy T., 2014, Pell and Pell-Lucas numbers with applications
[7] On Some Power Sums of Sine or Cosine
Merca, Mircea
[J]. AMERICAN MATHEMATICAL MONTHLY, 2014, 121 (03) : 244 - 248
[8] RIORDAN J., 1968, Combinatorial identities
[9] Simpson T., 1757, PHILOS T, V50, P757769

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