Geodesic
Touchard polynomials, partial Bell polynomials and polynomials of binomial type
Journal of integer sequences, Tome 14 (2011) no. 3.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 are obtained.
Classification : 05A10, 05A99, 11B73, 11B75
Keywords: touchard polynomials, partial Bell polynomials, polynomials of binomial type 
@article{JIS_2011__14_3_a2,
     author = {Mihoubi, Miloud and Maamra, Mohammed Said},
     title = {Touchard polynomials, partial {Bell} polynomials and polynomials of binomial type},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {14},
     number = {3},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2011__14_3_a2/}
}
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Mihoubi, Miloud; Maamra, Mohammed Said. Touchard polynomials, partial Bell polynomials and polynomials of binomial type. Journal of integer sequences, Tome 14 (2011) no. 3. http://geodesic.mathdoc.fr/item/JIS_2011__14_3_a2/