Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalizations and specializations of generating functions for Jacobi,
  Gegenbauer, Chebyshev and Legendre polynomials with definite integrals   In this paper we generalize and specialize generating functions for classical
orthogonal polynomials, namely Jacobi, Gegenbauer, Chebyshev and Legendre
polynomials. We derive a generalization of the generating function for
Gegenbauer polynomials through extension a two element sequence of generating
functions for Jacobi polynomials. Specializations of generating functions are
accomplished through the re-expression of Gauss hypergeometric functions in
terms of less general functions. Definite integrals which correspond to the
presented orthogonal polynomial series expansions are also given.

20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph