A Database of Continued Fractions of Polynomial Type
Number Theory
2025-08-12 v3 Complex Variables
Abstract
We describe a database of 1779 continued fractions with polynomial coefficients, of which more than 1500 are new, both for interesting constants and for transcendental functions, and provide the database inside the \TeX\ source of the paper. Look in particular at the section ``Table of Contents''.
Keywords
Cite
@article{arxiv.2409.06086,
title = {A Database of Continued Fractions of Polynomial Type},
author = {Henri Cohen},
journal= {arXiv preprint arXiv:2409.06086},
year = {2025}
}
Comments
Version 3 includes more than 300 additional CFs, and a large number of additional hypergeometric series for special constants and functions, in particular for gamma quotients