Directory UMM :Data Elmu:jurnal:J-a:Journal of Computational And Applied Mathematics:Vol99.Issue1-2.1998:
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Waadeland, An alternative way of using Szego polynomials in frequency analysis, Continued Fractions and Orthogonal Functions, Theory and Applications, Marcel Dekker, New York,
Although it is not an orthogonal family, the falling factorial sequence of polynomials satises a rst order dierence equation and also a two term recurrence relation..
Krall and Sheer rst nd necessary and sucient conditions in order for orthogonal polynomials to satisfy the dierential equation (1.1) and then classify such dierential equations, up to
For classical orthogonal polynomials of a discrete variable, the recurrence coecients are known explicitly and Theorem 8.1 can be used to obtain the zero distributions... Then is
The so-called classical continuous (Jacobi, Laguerre, Hermite) and discrete (Charlier, Meixner, Kravchuk, Hahn) orthogonal polynomials appear at dierent levels of the Askey tableau
There, all orthogonal Sheer polynomials, were linked to a unique Levy process, i.e., a continuous time stochastic process with stationary and independent increments.. The
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..
