Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a Class of Polynomials with Integer Coefficients   A class P_{n,m,p}(x) of polynomials is defined. The combinatorial meaning of
its coefficients is given. Chebyshev polynomials are the special cases of
P_{n,m,p}(x). It is first shown that P_{n,m,p}(x) may be expressed in terms of
P_{n,0,p}(x). From this we derive that P_{n,2,2}(x) may be obtain in terms of
trigonometric functions, from which we obtain some of its important properties.
Some questions about orthogonality are also concerned. Furthermore, it is shown
that P_{n,2,2}(x) fulfills the same three terms recurrence as Chebyshev
polynomials. Some others recurrences for P_{n,m,p}(x) and its coefficients are
also obtained. At the end a formula for coefficients of Chebyshev polynomials
of the second kind is derived.

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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys