q-analogs of generalized fibonacci and lucas polynomials

被引：0
|
作者：
Jia, C. Z. [1 ]
Liu, H. M.
Wang, T. M.
机构：
[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China
[2] Hainan Normal Univ, Dept Math, Haikou 571158, Peoples R China
来源：
FIBONACCI QUARTERLY | 2007年 / 45卷 / 01期
关键词：
ROGERS-RAMANUJAN IDENTITIES; NUMBERS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Fibonacci operator approach inspired by Andrews (2004) is explored to investigate q-analogs of the generalized Fibonacci and Lucas polynomials introduced by Chu and Vicenti (2003). Their generating functions are compactly expressed in terms of Fibonacci operator fractions. A determinant evaluation on q-binomial coefficients is also established which extends a recent result of Sun (2005).
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页码：26 / 34
页数：9
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