Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polynomials in algebraic analysis   The concept of polynomials in the sense of algebraic analysis, for a single
right invertible linear operator, was introduced and studied originally by D.
Przeworska-Rolewicz \cite{DPR}. One of the elegant results corresponding with
that notion is a purely algebraic version of the Taylor formula, being a
generalization of its usual counterpart, well known for functions of one
variable. In quantum calculus there are some specific discrete derivations
analyzed, which are right invertible linear operators \cite{kac}. Hence, with
such quantum derivations one can associate the corresponding concept of
algebraic polynomials and consequently the quantum calculus version of Taylor
formula \cite{MULT2}. In the present paper we define and analyze, in the sense
of algebraic analysis, polynomials corresponding with a given family of right
invertible operators. Within this approach we generalize the usual polynomials
of several variables.

13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin