On two models of orthogonal polynomials and their applications
msra（2003）
Abstract
This contribution deals with some models of orthogonal polynomials as well as their applications in several areas of mathematics. Some new trends in the theory of orthogonal polynomials are summarized. In particular, we emphasize on two kinds of orthogonality, i.e., the standard orthogonality in the unit circle and a non standard one, which is called multi-orthogonality. Both have attracted the interest of researchers during the past ten years.
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Key words
42c05,quadratures on the unit circle,hermite-pade approximation,trigonometric moment problem,linear prediction,orthogonal polynomials,linear functionals,stieltjes and markov functions,rational approximation,electrostatics of zeros. ams subject classifications: 33c45,multiple orthogonal polynomials
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