Asymptotic zero distribution of biorthogonal polynomials

نویسندگان

  • Doron S. Lubinsky
  • A. Sidi
  • H. Stahl
چکیده

Let ψ : [0, 1] → R be a strictly increasing continuous function. Let Pn be a polynomial of degree n determined by the biorthogonality conditions ∫ 1 0 Pn (x)ψ (x) j dx = 0, j = 0, 1, . . . , n− 1. We study the distribution of zeros of Pn as n → ∞, and related potential theory.

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عنوان ژورنال:
  • Journal of Approximation Theory

دوره 190  شماره 

صفحات  -

تاریخ انتشار 2015