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Exploring the zeros of real self-reciprocal polynomials by Chebyshev polynomials. (arXiv:1709.03037v1 [math.CA])

In this paper we present some classes of real self-reciprocal polynomials with at most two zeros outside the unit circle which are connected with a Chebyshev quasi-orthogonal polynomials of order one. We investigated the distribution, simplicity and monotonicity of their zeros around the unit circle and real line.查看全文

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