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- W3101208382 abstract "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." @default.
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- W3101208382 date "2015-01-01" @default.
- W3101208382 modified "2023-09-24" @default.
- W3101208382 title "Nonreal zero decreasing operators related to orthogonal polynomials" @default.
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- W3101208382 doi "https://doi.org/10.2140/involve.2015.8.129" @default.
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