Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sequences of symmetric functions of binomial type   We take advantage of the combinatorial interpretations of many sequences of
polynomials of binomial type to define a sequence of symmetric functions
corresponding to each sequence of polynomials of binomial type. We derive many
of the results of Umbral Calculus in this context including a Taylor's
expansion and a binomial identity for symmetric functions. Surprisingly, the
delta operators for all the sequences of binomial type correspond to the same
operator on symmetric functions.
  On s'appuie ici sur les interpr\'etations combinatoires de nombreuses suites
de polyn\^omes de type binomial pour d\'efinir une suite de fonctions
sym\'etriques associ\'ee \`a chque suite de polyn\^omes de type binomial. On
retrouve dans ce cadre, de nombreaux r\'esultats du calcul ombral, en
particulier une version de la formule de Taylor et la formule d'identit\'e du
bin\^ome pour les fonctions sym\'etriques. On s'aper\oit que les op\'erateurs
differentiels de degr\'e un pour toutes les suite de polyn\^omes de type a
binomial correspondent \`a un op\'erateur unique sur les fonction
sym\'etriques.

28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg