Convolutions of the generalized Jacobsthal and generalized Lucas numbers

IF 1 4区数学 Q1 MATHEMATICS Applicable Analysis and Discrete Mathematics Pub Date : 2021-01-01 DOI:10.2298/AADM191103008D

G. Djordjevic, S. Djordjevic

引用次数: 0

Abstract

In this paper we consider the generalized Jacobsthal Jn,m and the generalized Jacobsthal-Lucas numbers jn,m. Also, we introduce new sequences of numbers An,m, Bn,m, Cn,m and Dn,m. Namely, these new sequences are convolutions of the sequences Jn,m and jn,m. Further, we find the generating functions and some recurrence relations for these sequences of numbers.

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广义jacobthal数和广义Lucas数的卷积

本文研究了广义Jacobsthal数Jn,m和广义Jacobsthal- lucas数Jn,m。此外，我们还引入了新的数字序列An,m, Bn,m, Cn,m和Dn,m。也就是说，这些新序列是序列Jn,m和Jn,m的卷积。进一步，我们得到了这些数列的生成函数和一些递归关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applicable Analysis and Discrete Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： Applicable Analysis and Discrete Mathematics is indexed, abstracted and cover-to cover reviewed in: Web of Science, Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES), Mathematical Reviews/MathSciNet, Zentralblatt für Mathematik, Referativny Zhurnal-VINITI. It is included Citation Index-Expanded (SCIE), ISI Alerting Service and in Digital Mathematical Registry of American Mathematical Society (http://www.ams.org/dmr/).

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