Nonlinear differential equations arising from Boole numbers and their applications
Number Theory
2016-03-28 v1
Abstract
In this paper, we study nonlinear differential equations satisfied by the generating function of Boole numbers. In addition, we derive some explicit and new interesting identities involving Boole numbers and higher-order numbers arising from our nonlinear differential equations.
Cite
@article{arxiv.1603.07799,
title = {Nonlinear differential equations arising from Boole numbers and their applications},
author = {Taekyun Kim and Dae San Kim},
journal= {arXiv preprint arXiv:1603.07799},
year = {2016}
}
Comments
10 pages