On bicomplex third-order Jacobsthal numbers

被引：2

作者：

Cerda-Morales, Gamaliel ^{[1
]}

机构：

[1] Pontificia Univ Catolica Valparaiso, Inst Math, Valparaiso, Chile

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2023年 / 68卷 / 01期

关键词：

Bicomplex numbers; third-order Jacobsthal sequence; recurrences; IDENTITIES;

D O I：

10.1080/17476933.2021.1975113

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this work is to consider the bicomplex third-order Jacobsthal numbers and to present some properties involving this sequence, including the Binet-style formulae and the generating functions. Furthermore, Cassini's identity and d'Ocagne's identity for this type of bicomplex numbers are given, and a different way to find the nth term of this sequence is stated using the determinant of a four-diagonal matrix whose entries are bicomplex third-order Jacobsthal numbers.

引用

页码：44 / 56

页数：13

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