On the Expansion of Fibonacci and Lucas Polynomials

被引：0
|
作者：
Prodinger, Helmut [1 ]
机构：
[1] Univ Stellenbosch, Dept Math, ZA-7602 Stellenbosch, South Africa
来源：
JOURNAL OF INTEGER SEQUENCES | 2009年 / 12卷 / 01期
关键词：
Fibonacci polynomials; Lucas polynomials; generating functions; q-analogues;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Recently, Belbachir and Bencherif have expanded Fibonacci and Lucas polynomials using bases of Fibonacci-and Lucas-like polynomials. Here, we provide simplified proofs for the expansion formulae that in essence a computer can do. Furthermore, for 2 of the 5 instances, we find q-analogues.
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页数：5
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