منابع مشابه
On the Connection Coefficients of the Chebyshev-Boubaker Polynomials
The Chebyshev-Boubaker polynomials are the orthogonal polynomials whose coefficient arrays are defined by ordinary Riordan arrays. Examples include the Chebyshev polynomials of the second kind and the Boubaker polynomials. We study the connection coefficients of this class of orthogonal polynomials, indicating how Riordan array techniques can lead to closed-form expressions for these connection...
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then P z has all the zeros in z t . In the literature, [1-15], there exist extensions and generalizations of Eneström-Kakeya theorem. Joyal, Labelle and Rahman [9] extended this theorem to polynomials whose coefficients are monotonic but not necessarily non negative and the result was further generalized by Dewan and Bidkham [6] to read as: Theorem B. If =0 := n j j j P z a z is a p...
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Tinggang Zhao Dept. of Math.,Lanzhou City University, Lanzhou 730070,P. R. CHINA B. K. Ben Mahmoud ESSTT/ 63 Rue Sidi Jabeur 5100 Mahdia, TUNISIA M. A. Toumi Dép. des Math.,Faculté des Sciences de Bizerte,7021, Zarzouna, Bizerte, TUNISIA O. P. Faromika Department of Physics, Federal Univ. of Technology, Akure, Ondo State, NIGERIA M. Dada Department of Physics, Federal Univ. of Technology, Minna...
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For a regular compact set K in C and a measure μ on K satisfying the Bernstein-Markov inequality, we consider the ensemble PN of polynomials of degree N , endowed with the Gaussian probability measure induced by L(μ). We show that for large N , the simultaneous zeros of m polynomials in PN tend to concentrate around the Silov boundary of K; more precisely, their expected distribution is asympto...
متن کاملOn the Zeros of Self-Inversive Polynomials
A classical result due to Cohn states that a self-inversive polynomial has all its zeros on the unit circle if and only if all the zeros of its derivative lie in the closed unit disk. A more flexible necessary and sufficient condition than that of Cohn’s was given by Chen. However those results do not give any information on the simplicity of zeros of a self-inversive polynomial. This paper mod...
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ژورنال
عنوان ژورنال: Bulletin of the Korean Mathematical Society
سال: 2014
ISSN: 1015-8634
DOI: 10.4134/bkms.2014.51.2.547