| Some Recursion Formulae for the Number of Derangements and Bell Numbers |
| Received:January 06, 2015 Revised:May 27, 2015 |
| Key Words:
the number of Derangements Bell numbers Pad\'{e} approximants recursion formulae
|
| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11326050; 11071194) and the Foundation for Fostering Talents in Kunming University of Science and Technology (Grant No.KKSY201307047). |
|
| Hits: 2776 |
| Download times: 2630 |
| Abstract: |
| In this paper, a further investigation for the number of Derangements and Bell numbers is performed, and some new recursion formulae for the number of Derangements and Bell numbers are established by applying the generating function methods and Pad\'{e} approximation techniques. Illustrative special cases of the main results are also presented. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2016.01.003 |
| View Full Text View/Add Comment |
