Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hahn, Jacobi, and Krawtchouck polynomials of several variables   Hahn polynomials of several variables can be defined by using the Jacobi
polynomials on the simplex as a generating function. Starting from this
connection, a number of properties for these two families of orthogonal
polynomials are derived. It is shown that the Hahn polynomials appear as
connecting coefficients between several families of orthogonal polynomials on
the simplex. Closed-form formulas are derived for the reproducing kernels of
the Hahn polynomials and Krawtchouck polynomials. As an application, the
Poisson kernels for the Hahn polynomials and the Krawtchouck polynomials are
shown to be nonnegative.

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The categories of this paper are: bayes-an
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci