|
| 摘要: |
| 本文引入了一个新的多项式，即Bell多项式.利用初等数论及组合方法，证明了包含该多项式的一些恒等式.作为这些恒等式的应用，给出了关于Bell数的同余式. |
| 关键词: Bell数 Bell多项式 恒等式 组合方法 |
| DOI： |
| 分类号:O157.1 |
| 基金项目:Supported by National Natural Science Foundation of China (11371291); Jiangxi Science and Technology Normal University (xjzd2015002). |
|
| BELL POLYNOMIALS AND ITS SOME IDENTITIES |
|
GUO Jing,LI Xiao-xue
|
| Abstract: |
| In this paper, we introduce a new polynomial called Bell polynomials. By using the elementary and combinational methods, we prove some identities for this polynomials. As an application of these identities, we give an interesting congruence for Bell numbers. |
| Key words: Bell numbers Bell polynomials identity combinational method |
