Multiplication of Generalized Polynomials, with Applications to Classical Orthogonal Polynomials

DOI10.1137/0605044zbMath0554.33005OpenAlexW2014726515MaRDI QIDQ3216886

Stephen Barnett

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1137/0605044

zbMATH Keywords

Hermite polynomialsLegendre polynomialscomrade matrixlinearization of polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Basic linear algebra (15A99)

Related Items

Analysis of linear time-varying systems and bilinear systems via shifted Chebyshev polynomials of the second kind ⋮ Euclidean remainders for generalized polynomials ⋮ Leverrier's algorithm for orthogonal polynomial bases ⋮ Change of Basis for Products of Orthogonal Polynomials

Cites Work

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• Division of generalized polynomials using the comrade matrix
• Congenial matrices
• A companion matrix analogue for orthogonal polynomials