Congruences on the Bell polynomials and the derangement polynomials

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• 作者：Yidong Sun ; ^{sydmath@yahoo.com.cn} ; Xiaojuan Wu ; Jujuan Zhuang ^{jjzhuang1979@yahoo.com.cn}
• 关键词：primary ; 11B75 ; secondary ; 05A15 ; 05A18 ; 11A07
• 刊名：Journal of Number Theory
• 出版年：2013
• 出版时间：May, 2013
• 年：2013
• 卷：133
• 期：5
• 页码：1564-1571
• 全文大小：141 K

文摘

In this note, by the umbral calculus method, the Sun and Zagier congruences involving the Bell numbers and the derangement numbers are generalized to the polynomial cases. Some special congruences are also presented.