A Database of Continued Fractions of Polynomial Type

TL;DR

This paper introduces a comprehensive database of 1779 continued fractions with polynomial coefficients, including over 1500 new entries for constants and functions, facilitating research in number theory and analysis.

Contribution

It provides the first extensive database of polynomial-type continued fractions, with many new entries, accessible within the paper's source code.

Findings

Over 1500 new continued fractions for constants and functions

The database includes 1779 entries of polynomial continued fractions

Accessible within the paper's LaTeX source code

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''.