Evaluating the Fabius function
General Mathematics
2020-05-06 v2
Abstract
The Thue-Morse sequence (1, -1, -1, 1, -1, 1, 1, ...) can in a sense be naturally extended to a continuous function f called the Fabius function. It is shown how to determine the exact value of f(x) whenever x is the ratio between a positive integer and a power of 2.
Keywords
Cite
@article{arxiv.1609.07999,
title = {Evaluating the Fabius function},
author = {Jan Kristian Haugland},
journal= {arXiv preprint arXiv:1609.07999},
year = {2020}
}
Comments
5 pages. Main result isolated as a theorem in version 2