Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 58, Issue 1, Pages 104-118Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2009.03.093
Keywords
Bell polynomials; Associated sequences; Sheffer sequences; Cross sequences; Combinatorial identities
Categories
Ask authors/readers for more resources
The exponential partial Bell polynomials are polynomials in an infinite number of variables x(1), x(2), ..., and it is well-known that some special combinatorial sequences, e.g., Stirling numbers of both kinds, Lah numbers and idempotent numbers, can be obtained from the Bell polynomials. In this paper, we study these polynomials by making appropriate choices of the variables x(1), x(2),... which are related to associated sequences (binomial sequences) and Sheffer sequences. As a consequence, many general identities on Bell polynomials are proposed. From these general identities, we can obtain series of identities on Bell polynomials. It can also be found that many results presented before are special cases of the general identities of this paper. (C) 2009 Elsevier Ltd. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available