Touchard Polynomials, Partial Bell Polynomials and Polynomials of Binomial Type
Miloud Mihoubi and Mohammed Said Maamra
University of Science and Technology Houari Boumediene (USTHB)
Faculty of Mathematics
El Alia, 16111, Algiers
Touchard generalized the Bell polynomials in order to give some
combinatorial interpretation on permutations. Chrysaphinou
introduced and studied a class of polynomials related to Touchard's
generalization. In the present paper, we establish some relations
between Touchard polynomials, Bell polynomials and the polynomials of
binomial type. Several identities and relations with Stirling numbers
Full version: pdf,
Received October 21 2010;
revised version received February 13 2011.
Published in Journal of Integer Sequences, March 25 2011.
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