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Change of Basis for Products of Orthogonal Polynomials

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Publication:3794677
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DOI10.1137/0608013zbMath0649.42014OpenAlexW2092473333MaRDI QIDQ3794677

Stephen Barnett

Publication date: 1987

Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0608013


zbMATH Keywords

matrix methodsexamples


Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Basic linear algebra (15A99)


Related Items (1)

Leverrier's algorithm for orthogonal polynomial bases



Cites Work

  • Unnamed Item
  • Division of generalized polynomials using the comrade matrix
  • A variable coefficient extension of a formula for series conversion
  • Multiplication of Generalized Polynomials, with Applications to Classical Orthogonal Polynomials
  • Conversion of Polynomials between Different Polynomial Bases
  • Converting Interpolation Series into Chebyshev Series by Recurrence Formulas
  • Numerical Evaluation of Fourier Integrals
  • A recurrence scheme for converting from one orthogonal expansion into another




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