Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Zeros of a binomial combination of Chebyshev polynomials   For $0<\alpha<1$, we study the zeros of the sequence of polynomials $\left\{
P_{m}(z)\right\} _{m=0}^{\infty}$ generated by the reciprocal of
$(1-t)^{\alpha}(1-2zt+t^{2})$, expanded as a power series in $t$. Equivalently,
this sequence is obtained from a linear combination of Chebyshev polynomials
whose coefficients have a binomial form. We show that the number of zeros of
$P_{m}(z)$ outside the interval $(-1,1)$ is bounded by a constant independent
of $m$.

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The categories of this paper are: nlin
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The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph