Integration Formulas Involving Fibonacci and Lucas Numbers
General Mathematics
2024-06-04 v1
Abstract
We present a range of difficult integration formulas involving Fibonacci and Lucas numbers and trigonometric functions. These formulas are often expressed in terms of special functions like the dilogarithm and Clausen's function. We also prove complements of integral identities of Dilcher (2000) and Stewart (2022). Many of our results are based on a fundamental lemma dealing with differentiation of complex-valued Fibonacci (Lucas) functions.
Cite
@article{arxiv.2406.00064,
title = {Integration Formulas Involving Fibonacci and Lucas Numbers},
author = {Kunle Adegoke and Robert Frontczak},
journal= {arXiv preprint arXiv:2406.00064},
year = {2024}
}
Comments
33 pages, no figures or tables