Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The higher order asymptotic expansion of the Krawtchouk polynomials   The paper extends the classical result on the convergence of the Krawtchouk
polynomials to the Hermite polynomials. We provide the uniform asymptotic
expansion in terms of the Hermite polynomials. We explicitly obtain expressions
for a few initial terms of this expansion. The research is motivated by the
study of ergodic sums of the Pascal adic transformation.

1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom