On the Binomial Sums of k-Fibonacci and k-Lucas sequences

被引：1

作者：

Yilmaz, N. ^{[1
]}

Taskara, N. ^{[1
]}

Uslu, K. ^{[1
]}

Yazlik, Y. ^{[1
]}

机构：

[1] Selcuk Univ, Dept Math, Fac Sci, TR-42075 Konya, Turkey

来源：

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS A-C | 2011年 / 1389卷

关键词：

k-Fibonacci numbers; k-Lucas numbers; binomial sums; NUMBERS;

D O I：

10.1063/1.3636734

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main purpose of this paper is to establish some new properties of k-Fibonacci and k-Lucas numbers in terms of binomial sums. By that, we can obtain these special numbers in a new and direct way. Moreover, some connections between k-Fibonacci and k-Lucas numbers are revealed to get a more strong result.

引用

页数：4

共 7 条

[1]

FALCON S., 2011, International Journal of Contemporary Mathematical Sciences, V6, P1039

[2] The k-Fibonacci sequence and the Pascal 2-triangle [J].

Falcon, Sergio ;

Plaza, Angel .

CHAOS SOLITONS & FRACTALS, 2007, 33 (01) :38-49

[3] On k-Fibonacci numbers of arithmetic indexes [J].

Falcon, Sergio ;

Plaza, Angel .

APPLIED MATHEMATICS AND COMPUTATION, 2009, 208 (01) :180-185

[4]

Gulec H., 2009, International Journal of Contemporary Mathematical Sciences, V4, P1251

[5]

KOSHY T., 2001, PUR AP M-WI

[6]

LAYMAN JW, 1977, FIBONACCI QUART, V15, P362

[7] On the properties of Lucas numbers with binomial coefficients [J].

Taskara, N. ;

Uslu, K. ;

Gulec, H. H. .

APPLIED MATHEMATICS LETTERS, 2010, 23 (01) :68-72

← 1 →