Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The $q$-Lidstone series involving $q$-Bernoulli and $q$-Euler
  polynomials generated by the third Jackson $q$-Bessel function   n this paper, we present $q$-Bernoulli and $q$-Euler polynomials generated by
the third Jackson $q$-Bessel function to construct new types of $q$-Lidstone
expansion theorem. We prove that the entire function may be expanded in terms
of $q$-Lidstone polynomials which are $q$-Bernoulli polynomials and the
coefficients are the even powers of the $q$-derivative $\frac{\delta_q
f(z)}{\delta_q z}$ at $0$ and $1$. The other forms expand the function in
$q$-Lidstone polynomials based on $q$-Euler polynomials and the coefficients
contain the even and odd powers of the $q$-derivative $\frac{\delta_q
f(z)}{\delta_q z}$.

35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph