Multiple orthogonal polynomials on the semicircle and applications

@article{Stanic2014MultipleOP,
  title={Multiple orthogonal polynomials on the semicircle and applications},
  author={Marija P. Stanic},
  journal={Applied Mathematics and Computation},
  year={2014},
  volume={243},
  pages={269-282}
}
In this paper two types of multiple orthogonal polynomials on the semicircle with respect to a set of r different weight functions are defined. Such polynomials are generalizations of polynomials orthogonal on the semicircle with respect to a complex-valued inner product 1⁄2f ; g 1⁄4 R p 0 f e ih g eih w eih dh. The existence and uniqueness of introduced multiple orthogonal polynomials for certain classes of weight functions are proved. Some properties of multiple orthogonal polynomials on the… CONTINUE READING
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