IDENTITIES FOR LINEAR RECURSIVE SEQUENCES OF ORDER 2

被引：1
|
作者：
He, Tian-xiao [1 ]
Shiue, Peter J. S. [2 ]
机构：
[1] Illinois Wesleyan Univ, Dept Math, Bloomington, IL 61702 USA
[2] Univ Nevada, Dept Math Sci, Las Vegas, NV 89154 USA
来源：
ELECTRONIC RESEARCH ARCHIVE | 2021年 / 29卷 / 05期
关键词：
Girard-Waring identities; Catalan-like identity; Cassini-like identity; Diophantine quadruple; balancing polynomials; balancing numbers; Fibonacci numbers; recursive sequence; Lucas numbers; Pell numbers; Pell-Lucas polynomials; Chebyshev polynomials of the first kind; Chebyshev polynomials of the second kind; Pell polynomials; Lucas polynomials; Fermat polynomials; Fermat numbers; FIBONACCI; FACTORIZATIONS;
D O I：
10.3934/era.2021049
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present here a general rule of construction of identities for recursive sequences by using sequence transformation techniques developed in [16]. Numerous identities are constructed, and many well known identities can be proved readily by using this unified rule. Various Catalan-like and Cassini-like identities are given for recursive number sequences and recursive polynomial sequences. Sets of identities for Diophantine quadruple are shown.
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页码：3489 / 3507
页数：19
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