منابع مشابه
Approximate Closed-Form Formulas for the Zeros of the Bessel Polynomials
We find approximate expressions x̃(k, n) and ỹ(k, n) for the real and imaginary parts of the kth zero zk = xk + iyk of the Bessel polynomial yn(x). To obtain these closed-form formulas we use the fact that the points of welldefined curves in the complex plane are limit points of the zeros of the normalized Bessel polynomials. Thus, these zeros are first computed numerically through an implementa...
متن کاملOn the Location of Zeros of Polynomials
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...
متن کاملZeros of Random Polynomials On
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 Localization and Computation of Zeros of Bessel Functions
The topological degree of a continuous mapping is implemented for the calculation of the total number of the simple real zeros within any interval of the Bessel functions of first and second kind and their derivatives. A new algorithm, based on this implementation, is given for the localization and isolation of these zeros. Furthermore, a second algorithm is presented for their computation empl...
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: Journal of Approximation Theory
سال: 1985
ISSN: 0021-9045
DOI: 10.1016/0021-9045(85)90052-8