关于两个基本递归序列的注记

IF 0.4 Q4 MATHEMATICS

Annales Mathematicae Silesianae Pub Date : 2021-07-27 DOI:10.2478/amsil-2021-0007

Reza Farhadian, R. Jakimczuk

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引用次数: 1

摘要

摘要在本文中，我们建立了两个基本递归序列的一些一般结果，这两个序列是许多著名递归序列的基础，如Fibonacci序列、Lucas序列、Pell序列、Pell-Lucas序列等。我们建立了一些一般极限公式，其中这些序列的前n项的乘积出现。此外，我们还证明了将这些序列连接到数e（≈2:71828:：）的一些一般极限。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A Note on Two Fundamental Recursive Sequences

Abstract In this note, we establish some general results for two fundamental recursive sequences that are the basis of many well-known recursive sequences, as the Fibonacci sequence, Lucas sequence, Pell sequence, Pell-Lucas sequence, etc. We establish some general limit formulas, where the product of the first n terms of these sequences appears. Furthermore, we prove some general limits that connect these sequences to the number e(≈ 2:71828:::).

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来源期刊

Annales Mathematicae Silesianae Mathematics-Mathematics (all)

CiteScore

0.60

自引率

25.00%

发文量

审稿时长

27 weeks