Directory UMM :Data Elmu:jurnal:J-a:Journal of Computational And Applied Mathematics:Vol99.Issue1-2.1998:
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played by the zeros of orthogonal polynomials on the real line is now played by the zeros of para-orthogonal polynomials, and the Gaussian formulas by the Szego formulas, see,
In this section we construct matrix polynomial approximations of problems (1)–(3) expressed in terms of Hermite matrix polynomials... Apostol, Explicit formulas for solutions of
Special matrix functions appear in the literature related to Statistics [1], Lie groups theory [11], and more recently in connection with matrix analogues of Laguerre, Hermite
This paper is devoted to some classes of orthogonal Muntz polynomials, as well as to the associated Malmquist systems of orthogonal rational functions.. The rst papers for
These systems, called Appell systems, admit many properties known from classical Hermite polynomials, and turn out to be useful for the analysis of Dunkl’s Gaussian distributions1.
Freud: when dealing with weighted polynomials (in his case orthogonal polynomials) on an innite interval we can restrict the polynomials to some explicitly given nite intervals
Apart from the traditional applications of Hermite–Pade polynomials to the constructive approximation of vector analytic functions (quadrature formulas, convergence of
Zhou, Strong asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory, to appear..
