Universal Definitions of the Roman Factorial: Introduction to Foundational Functions and the Generalization Process
Abstract
This paper introduces a new method for redefining the Roman factorial using universally applicable functions that are not expressed in closed form. We present a set of foundational functions, similar to Boolean operations, to simplify the factorial expression. Through a systematic process of generalization, termed generalization process, we aim to use these foundational functions to create recursive and non-recursive, global definitions of the Roman factorial.
Keywords
Cite
@article{arxiv.2403.09581,
title = {Universal Definitions of the Roman Factorial: Introduction to Foundational Functions and the Generalization Process},
author = {Leonidas Liponis},
journal= {arXiv preprint arXiv:2403.09581},
year = {2025}
}
Comments
24 pages, 16 figures (v2: submission date now shows correctly) (v3: fixed typo, added contact email, added footnote to explain citations) (v4: various latex optimizations) (v5: fixed domain mislabeling in introduction) (v6: adjusted phrasing for clarity) (v7: minor latex modifications in preparation for the follow-up paper) (v8: further latex and formatting improvements)