Geodesic
On a generalization of binomial coefficients
The electronic journal of combinatorics, Tome 11 (2004) no. 1
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

We prove a recent conjecture of Lassalle about positivity and integrality of coefficients in some polynomial expansions. We also give a combinatorial interpretation of those numbers. Finally, we show that this question is closely related to the fundamental problem of calculating the linearization coefficients for binomial coefficients.
DOI : 10.37236/1800
Classification : 05A10, 05A05, 05A15, 05A17, 05A18, 05A19, 05E05, 33C20
Mots-clés : calculus of finite differences, conjecture of Lasalle, linearization coefficients for binomial coefficients 
@article{10_37236_1800,
     author = {Fr\'ed\'eric Jouhet and Bodo Lass and Jiang Zeng},
     title = {On a generalization of binomial coefficients},
     journal = {The electronic journal of combinatorics},
     year = {2004},
     volume = {11},
     number = {1},
     doi = {10.37236/1800},
     zbl = {1054.05003},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1800/}
}
TY  - JOUR
AU  - Frédéric Jouhet
AU  - Bodo Lass
AU  - Jiang Zeng
TI  - On a generalization of binomial coefficients
JO  - The electronic journal of combinatorics
PY  - 2004
VL  - 11
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.37236/1800/
DO  - 10.37236/1800
ID  - 10_37236_1800
ER  - 
%0 Journal Article
%A Frédéric Jouhet
%A Bodo Lass
%A Jiang Zeng
%T On a generalization of binomial coefficients
%J The electronic journal of combinatorics
%D 2004
%V 11
%N 1
%U http://geodesic.mathdoc.fr/articles/10.37236/1800/
%R 10.37236/1800
%F 10_37236_1800
Frédéric Jouhet; Bodo Lass; Jiang Zeng. On a generalization of binomial coefficients. The electronic journal of combinatorics, Tome 11 (2004) no. 1. doi: 10.37236/1800

Cité par Sources :