Remarks on E. A. Rahmanov's paper “on the asymptotics of the ratio of orthogonal polynomials”

@article{Mt1982RemarksOE,
  title={Remarks on E. A. Rahmanov's paper “on the asymptotics of the ratio of orthogonal polynomials”},
  author={Attila M{\'a}t{\'e} and Paul Nevai},
  journal={Journal of Approximation Theory},
  year={1982},
  volume={36},
  pages={64-72}
}
  • A. Máté, P. Nevai
  • Published 1 September 1982
  • Mathematics
  • Journal of Approximation Theory
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This paper constructs an example of a weight function on the interval such that 0$ SRC=http://ej.iop.org/images/0025-5734/36/4/A07/tex_sm_1864_img3.gif/>, , whereas the corresponding sequence of…
On the Asymptotics of the Ratio of Orthogonal Polynomials. Ii
Let be a positive measure on the circumference and let almost everywhere on . Let be the orthogonal polynomials corresponding to , and let be their parameters. Then .Bibliography: 5 titles.
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Let be a positive measure with compact support contained in , and set This paper studies the convergence of diagonal Pade approximants for meromorphic functions of the form , where is a rational…
On asymptotic properties of polynomials which are orthogonal on the unit circle, and on certain properties of positive harmonic functions