Copyright © 2011 Roberto B. Corcino and Cristina B. Corcino. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
It is shown that the sequence of the generalized Bell polynomials is convex under some restrictions of the parameters involved. A kind of recurrence relation for is established, and some numbers related to the generalized Bell numbers and their properties are investigated.