Directory UMM :Data Elmu:jurnal:J-a:Journal of Computational And Applied Mathematics:Vol99.Issue1-2.1998:
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Pan, Asymptotics for Sobolev orthogonal polynomials with coherent pairs: the Jacobi case, Type I, Proc. Szeg˝o, Orthogonal Polynomials, 4th
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,
The use of the above polynomials and of the associated operational calculus is particularly useful to explore the properties of new generalized special functions and also to derive
Thron, Orthogonal Laurent polynomials of Jacobi, Hermite and Laguerre Types, Orthogonal Functions, Moment Theory, and Continued Fractions: Theory and Applications (William B.
Buchholz, that allows one to express the regular conuent hypergeometric function M ( a; b; z ) as a series of modied Bessel functions with polynomial coecients, is generalized to
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
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.
Apart from the traditional applications of Hermite–Pade polynomials to the constructive approximation of vector analytic functions (quadrature formulas, convergence of
