On the Convergence of the Catalan Generating Function
Classical Analysis and ODEs
2016-02-15 v2
Abstract
We solve a problem of Marshal Hall by proving the convergence of the catalan number generating function directly on the basis of its recursion formula.
Cite
@article{arxiv.1511.08555,
title = {On the Convergence of the Catalan Generating Function},
author = {Mark B. Villarino},
journal= {arXiv preprint arXiv:1511.08555},
year = {2016}
}
Comments
We rewrote the section on "Heuristics" correcting various errors and for more clarity. We also changed a few details in the major proof