
arXiv: math/0512424
In this survey, different aspects of the theory of orthogonal polynomials of one (real or complex) variable are reviewed. Orthogonal polynomials on the unit circle are not discussed.
Padé approximation and rational interpolation, 42C05, Research exposition (monographs, survey articles) pertaining to harmonic analysis on Euclidean spaces, continued fractions, Other special orthogonal polynomials and functions, random matrices, spectral theory of self-adjoint operators, Mathematics - Classical Analysis and ODEs, quadrature, Classical Analysis and ODEs (math.CA), FOS: Mathematics, moment problem, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, Jacobi matrices
Padé approximation and rational interpolation, 42C05, Research exposition (monographs, survey articles) pertaining to harmonic analysis on Euclidean spaces, continued fractions, Other special orthogonal polynomials and functions, random matrices, spectral theory of self-adjoint operators, Mathematics - Classical Analysis and ODEs, quadrature, Classical Analysis and ODEs (math.CA), FOS: Mathematics, moment problem, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, Jacobi matrices
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