Science and Education Publishing Turkish Journal of Analysis and Number Theory 2 2 2014 03 26 On Noncentral Bell Numbers and Their Hankel Transforms 29 36 EN Roberto B. Corcino Department of Mathematics, Mindanao State University, Marawi City, Philippines Harren Jaylo-Campos Amila P. Macodi-Ringia TJANT2014221 10.12691/tjant-2-2-1 2014 03 11 2014 03 17 2014 03 26 The noncentral Stirling numbers of the first and second kind are certain generalization of the classical Stirling numbers of both kinds. In this paper, a kind of generalized Bell numbers, called noncentral Bell numbers, are defined in terms of noncentral Stirling numbers of the second kind. Some properties parallel to the ordinary Bell numbers are established including the Hankel transform of noncentral Bell numbers. Moreover, an alternative proof for the Hankel transform of (r, )-Bell numbers is presented.