Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Real Zero Decreasing Operators Related to Orthogonal Polynomials   Laguerre's theorem regarding the number of non-real zeros of a polynomial and
its image under certain linear operators is generalized. This generalization is
then used to (1) exhibit a number of previously undiscovered complex zero
decreasing sequences for the Chebyshev, Legendre, and generalized Laguerre
polynomial bases and (2) simultaneously generate a basis $B$ and a
corresponding $B$-CZDS. Some extensions to transcendental entire functions in
the Laguerre-Polya class are given which, in turn, give a new and short proof
of a previously known result due to one of the authors. The paper concludes
with several open questions.

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The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga