# Summation of certain infinite Lucas-related series

**Authors:** Bakir Farhi

arXiv: 1901.04336 · 2019-01-15

## TL;DR

This paper derives closed-form expressions for sums of specific infinite series related to Lucas numbers, extending previous work on Fibonacci series to a broader class of Lucas-related series.

## Contribution

It generalizes earlier results on Fibonacci series to include Lucas-related series, providing new closed-form summations.

## Key findings

- Closed-form sums for Lucas-related series are obtained.
- The results extend previous Fibonacci series summation formulas.
- The paper broadens the understanding of Lucas number series summations.

## Abstract

In this paper, we find the sums in closed form of certain type of Lucas-related convergent series. More precisely, we generalize the results already obtained by the author in his arXiv paper entitled: "Summation of certain infinite Fibonacci related series".

## Full text

_Full body text omitted from this summary view._ Fetch the complete paper as Markdown: https://tomesphere.com/paper/1901.04336/full.md

## References

19 references — full list in the complete paper: https://tomesphere.com/paper/1901.04336/full.md

---
Source: https://tomesphere.com/paper/1901.04336