On dual hyperbolic numbers with generalized Jacobsthal numbers components

被引：1

作者：

Soykan, Yuksel ^{[1
]}

Tasdemir, Erkan ^{[2
]}

Okumus, Inci ^{[3
]}

机构：

[1] Zonguldak Bulent Ecevit Univ, Art & Sci Fac, Dept Math, TR-67100 Zonguldak, Turkey

[2] Kirklareli Univ, Pinarhisar Vocat Sch, TR-39300 Kirklareli, Turkey

[3] Istanbul Univ Cerrahpasa, Fac Engn, Dept Engn, TR-34100 Istanbul, Turkey

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2023年 / 54卷 / 03期

关键词：

Jacobsthal numbers; Jacobsthal-Lucas numbers; Dual hyperbolic numbers; Dual hyperbolic Jacobsthal numbers; Cassini identity; PELL;

D O I：

10.1007/s13226-022-00301-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce the generalized dual hyperbolic Jacobsthal numbers. As special cases, we deal with dual hyperbolic Jacobsthal and dual hyperbolic Jacobsthal-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, Gelin-Cesaro's, Melham's identities and present matrices related with these sequences.

引用

页码：824 / 840

页数：17

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