Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Heat Polynomials, Umbral Correspondence and Burgers Equations   We show that the umbral correspondence between differential equations can be
achieved by means of a suitable transformation preserving the algebraic
structure of the problems. We present the general properties of these
transformations, derive explicit examples and discuss them in the case of the
App\`{e}l and Sheffer polynomial families. We apply these transformations to
non-linear equations, and discuss how the relevant solutions should be
interpreted.

17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph