On Hyperbolic Numbers With Generalized Fibonacci Numbers Components

被引：0
|
作者：
Soykan, Yuksel [1 ]
机构：
[1] Zonguldak Bulent Ecevit Univ, Art & Sci Fac, Dept Math, TR-67100 Zonguldak, Turkey
来源：
COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS | 2021年 / 12卷 / 04期
关键词：
Hyperbolic numbers; Hyperbolic Fibonacci numbers; Fibonacci numbers; Lucas numbers; Cassini identity;
D O I：
10.26713/cma.v12i4.1396
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce the generalized hyperbolic Fibonacci numbers over the bidimensional Clifford algebra of hyperbolic numbers. As special cases, we deal with hyperbolic Fibonacci and hyperbolic Lucas numbers. We present Binet's formulas, generating functions and the summation formulas for these numbers. Moreover, we give Catalan's, Cassini's, d'Ocagne's, GelinCesaro's, Melham's identities and present matrices related with these sequences.
引用
收藏
页码：987 / 1004
页数：18
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