Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Orthogonal Polynomials on the Unit Ball and Fourth-Order Partial
  Differential Equations   The purpose of this work is to analyse a family of mutually orthogonal
polynomials on the unit ball with respect to an inner product which includes an
additional term on the sphere. First, we will get connection formulas relating
classical multivariate orthogonal polynomials on the ball with our family of
orthogonal polynomials. Then, using the representation of these polynomials in
terms of spherical harmonics, algebraic and differential properties will be
deduced.

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The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
19
The categories of this paper are: eess
3
The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg