Directory UMM :Data Elmu:jurnal:J-a:Journal of Computational And Applied Mathematics:Vol108.Issue1-2.1999:
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The coecients of this equation are given in terms of the polynomials and which appear in the q-Pearson dierence equation D q ( ) = dening the weight of the q-classical
As an illustration of the method, in Section 3 we use it to compute the well-known coecients of the linearization formula for Hermite polynomials and the six connection
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
Keywords: Nondenite linear functionals; Orthogonal polynomials; Nonexistence; Moment preserving spline approximation.. Thus, our problem is connected with the existence of real
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
asymptotics of orthogonal polynomials with varying measures and Hermite — Pade´ approxi-. mants 91