Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a Family of 2-Variable Orthogonal Krawtchouk Polynomials   We give a hypergeometric proof involving a family of 2-variable Krawtchouk
polynomials that were obtained earlier by Hoare and Rahman [SIGMA 4 (2008),
089, 18 pages] as a limit of the 9-j symbols of quantum angular momentum
theory, and shown to be eigenfunctions of the transition probability kernel
corresponding to a "poker dice" type probability model. The proof in this paper
derives and makes use of the necessary and sufficient conditions of
orthogonality in establishing orthogonality as well as indicating their
geometrical significance. We also derive a 5-term recurrence relation satisfied
by these polynomials.

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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
1
The categories of this paper are: cs
3
The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an