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arXiv · 2307.14763

Some applications of the Lagrange inversion formula for the $k$-Fibonacci numbers

Bakir Farhi
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Abstract

The aim of this paper consists of providing summation formulas for the $k$-Fibonacci numbers ($k \in \mathbb{Z}$, $k \geq 2$) 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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Bakir Farhi. 2023-07-27. Some applications of the Lagrange inversion formula for the $k$-Fibonacci numbers. https://arxiv.org/abs/2307.14763

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