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Applications and Computation of Orthogonal Polynomials: Conference in Oberwolfach, March 22-28, 1998 Book

Applications and Computation of Orthogonal Polynomials: Conference in Oberwolfach, March 22-28, 1998
Applications and Computation of Orthogonal Polynomials: Conference in Oberwolfach, March 22-28, 1998, , Applications and Computation of Orthogonal Polynomials: Conference in Oberwolfach, March 22-28, 1998 has a rating of 4.5 stars
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Applications and Computation of Orthogonal Polynomials: Conference in Oberwolfach, March 22-28, 1998, , Applications and Computation of Orthogonal Polynomials: Conference in Oberwolfach, March 22-28, 1998
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  • Applications and Computation of Orthogonal Polynomials: Conference in Oberwolfach, March 22-28, 1998
  • Written by author W. Gautschi
  • Published by Springer-Verlag New York, LLC, August 1999
  • This volume contains a collection of papers dealing with applications of orthogonal polynomials and methods for their computation. The applications address problems in applied mathematics as well as problems in engineering and the sciences. Prominent amon
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Authors

Preface
Participants
The sensitivity of least squares polynomial approximation1
Transpose-free look-ahead algorithms for Lanczos' method21
Applications of anti-Gauss quadrature rules in linear algebra41
Stieltjes polynomials and the error of Gauss-Kronrod quadrature formulas57
Fast solution of confluent Vandermonde-like linear systems using polynomial arithmetic79
On discrete polynomial least-squares approximation in moving time windows93
Quadrature rules based on s-orthogonal polynomials for evaluating integrals with strong singularities109
Gegenbauer weight functions admitting L[subscript 2] Duffin and Schaeffer type inequalities121
Questions related to Gaussian quadrature formulas and two-term recursions133
Construction and computation of a new set of orthogonal polynomials145
Fourier transforms of orthogonal polynomials of singular continuous spectral measures153
On a sequence of fast decreasing polynomial operators165
Muntz orthogonal polynomials and their numerical evaluation179
Positivity of Gauss-Kronrod formulae for a certain ultraspherical weight function195
A Christoffel-Darboux-type formula for Szego polynomials and polynomial evaluation203
Applications of tensor-valued tri-variate Hermite polynomials and spherical harmonics in the kinetic theory of gases217
Indeterminate moment problems and a conjecture on the growth of the entire functions in the Nevanlinna parametrization227
Spectral methods based on nonclassical orthogonal polynomials239
Author index253
Subject index257


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Applications and Computation of Orthogonal Polynomials: Conference in Oberwolfach, March 22-28, 1998, , Applications and Computation of Orthogonal Polynomials: Conference in Oberwolfach, March 22-28, 1998

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