The Distribution of Zeros of Asymptotically Extremal Polynomials
نویسندگان
چکیده
In this paper, we study the asymptotic behavior of the zeros of a sequence of polynomials whose weighted norms have the same n th root behavior as the weighted norms for certain cxtrcmal polynomials. Our results include as special cases several of the previous results of ErdGs, Freud, Jentzsch, Szego and Blatt, Saff, and Simkani. Applications are given concerning the zeros of orthogonal polynomials over a smooth Jordan curve (in particular, on the unit circle) and the zeros of polynomials of best approximation on R to nonentire functions. @? 1991 Academic
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