Some Applications of the Lagrange Inversion Formula for the k-Fibonacci Numbers

被引：0
|
作者：
Farhi, Bakir [1 ]
机构：
[1] Univ Bejaia, Fac Sci Exactes, Lab Math Appl, Bejaia 06000, Algeria
来源：
JOURNAL OF INTEGER SEQUENCES | 2024年 / 27卷 / 01期
关键词：
Fibonacci number; k-Fibonacci number; linear recurrent sequence; binomial co-efficient; the Lagrange inversion formula;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We provide summation formulas for the k-Fibonacci numbers (k is an element of Z, k >= 2) and their asymptotic equivalents in terms of generalized binomial coefficients. Our main tools are the Lagrange inversion formula and one of its consequences due to Hermite.
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页数：15
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