Some applications of the Lagrange inversion formula for the $k$-Fibonacci numbers
Number Theory
2023-07-28 v1 Combinatorics
Abstract
The aim of this paper consists of providing summation formulas for the -Fibonacci numbers (, ) 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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Cite
@article{arxiv.2307.14763,
title = {Some applications of the Lagrange inversion formula for the $k$-Fibonacci numbers},
author = {Bakir Farhi},
journal= {arXiv preprint arXiv:2307.14763},
year = {2023}
}
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13 pages