On the Bihyperbolic k-Fibonacci Numbers

被引：0

作者：

Falcon, Sergio ^{[1
]}

机构：

[1] Univ Las Palmas Gran Canaria, Dept Matemat, Las Palmas Gran Canaria 35017, Spain

来源：

COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS | 2024年 / 15卷 / 02期

关键词：

k-Fibonacci numbers; Hiperbolic and bihyperbolic numbers; Convolution; Binet; Catalan and d'Ocagne identities; Generating function;

D O I：

10.26713/cma.v15i2.2592

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we extend the concept of bihyperbolic numbers to the k-Fibonacci numbers. We will find the main formulas that affect these numbers, such as the recurrence formulas and the sum of the first n terms, as well as the identities of Binet, Catalan and d'Ocagne. We finish the study by finding the generating function of the bihyperbolic k-Fibonacci numbers.

引用

页码：525 / 532

页数：8

共 8 条

[1] On some combinatorial properties of bihyperbolic numbers of the Fibonacci type [J].