Identities on Bell polynomials and Sheffer sequences

被引：15
|
作者：
Wang, Weiping [1 ]
Wang, Tianming [1 ]
机构：
[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China
来源：
DISCRETE MATHEMATICS | 2009年 / 309卷 / 06期
关键词：
Associated sequences; Bell polynomials; Cross sequences; Riordan arrays; Sheffer sequences; Combinatorial identities; RIORDAN ARRAYS; CALCULUS;
D O I：
10.1016/j.disc.2008.02.036
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, We Study exponential partial Bell polynomials and Sheffer sequences. Two new characterizations of Sheffer sequences are presented, which indicate the relations between Sheffer sequences and Riordan arrays. Several general identities involving Bell polynomials and Sheffer sequences are established, which reduce to sonic elegant identities for associated sequences and cross Sequences. (C) 2008 Elsevier B.V. All rights reserved.
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页码：1637 / 1648
页数：12
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