Titlebook: Orthogonal Polynomials; Theory and Practice Paul Nevai Book 1990 Kluwer Academic Publishers 1990 Approximation.Jacobi.boundary element meth

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Orthogonal Polynomials in Coding Theory and Algebraic Combinatorics,eory, various theories of group representation, and so on. The main topics discussed in this paper include the following: The connection between orthogonal polynomials and . -polynomial (or . -polynomial) association schemes. The classification problem for . - and . -polynomial association schemes a

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,Orthogonal Polynomials, Padé Approximations and Julia Sets,m, the subsitution of a polynomial into itself, into a linear one, the three terms recursive relation fulfilled by any orthogonal polynomial system. To those iterates of a polynomial is associated in a natural manner an Hilbert space operator, the Jacobi matrix . generated by the three term recursiv

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On the Role of Orthogonal Polynomials on the Unit Circle in Digital Signal Processing Applications,d Levinson algorithm, which is commonly used in digital signal processing (DSP) applications to solve various least-squares problems. A computationally more efficient substitute for the Levinson algorithm, termed the split Levinson algorithm, has recently been proposed in the DSP literature. In the

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A Survey on the Theory of Orthogonal System and Some Open Problems, conclude that these results have been overlooked by the overwhelming majority of mathematicians working in general orthogonal systems and, in particular, in orthogonal polynomials. We did not include in this report a number of the author’s results on the theory of bi-orthogonal systems, which are f

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Birth and Death Processes and Orthogonal Polynomials,nd spectra of birth and death processes. Birth and death processes with linear birth and death rates are studied in some detail. We also mention some results concerning birth and death processes whose transition rates are rational functions.

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Orthogonal Polynomials in Connection with Quantum Groups, on Hopf algebras and quantum groups. The emphasis in the rest of the paper is on the SU(2) quantum group. An interpretation of little q-Jacobi polynomials as matrix elements of its irreducible representations is presented. In the last two sections new results by the author on interpretations of Ask

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