Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic properties of biorthogonal polynomials systems related to
  Hermite and Laguerre polynomials   In this paper, the structures to a family of biorthogonal polynomials that
approximate to the Hermite and Generalized Laguerre polynomials are discussed
respectively. Therefore, the asymptotic relation between several orthogonal
polynomials and combinatorial polynomials are derived from the systems, which
in turn verify the Askey scheme of hypergeometric orthogonal polynomials. As
the applications of these properties, the asymptotic representations of the
generalized Buchholz, Laguerre, Ultraspherical(Gegenbauer), Bernoulli, Euler,
Meixner and Meixner-Pllaczekare polynomials are derived from the theorems
directly. The relationship between Bernoulli and Euler polynomials are shown as
a special case of the characterization theorem of the Appell sequence generated
by $\alpha$ scaling functions.

26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th