Some new identities and congruences for Fubini numbers

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• 作者：Toka Diagana^a ; ^{tdiagana@howard.edu} ; Hamadoun Maï ; ga^b ; ^{hamadounmg@yahoo.fr}
• 关键词：primary ; 11S80 ; 11A07 ; 11B50 ; 46S10 ; 97F60 ; secondary ; 32P05 ; 32K05 ; 44A10 ; 44A60
• 刊名：Journal of Number Theory
• 出版年：2017
• 出版时间：April 2017
• 年：2017
• 卷：173
• 期：Complete
• 页码：547-569
• 全文大小：392 K
• 卷排序：173

文摘

In this paper we make extensive use of the p-adic Laplace transform and p-adic integration to study and obtain some new identities and congruences for Fubini numbers. Further, we introduce the concept of generalized Fubini numbers and obtain some new identities and congruences for these, which generalize in a natural fashion those identities associated with Fubini numbers.