Associated generalized Jacobi functions and polynomials

DOI10.1016/0022-247X(91)90263-YzbMath0729.42014OpenAlexW1980626214MaRDI QIDQ805976

Giuseppe Mastroianni, Giuliana Criscuolo, Paul G. Nevai

Publication date: 1991

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(91)90263-y

zbMATH Keywords

weight functionfunctions of the second kindassociated orthogonal polynomialscontinuous function of Dini typeGeneralized Jacobi weights

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)

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Error bound for product quadrature rules in \(L_ 1\)-weighted norm, Uniform convergence estimates for a collocation method for the Cauchy singular integral equation, Weighted finite Fourier transform operator: uniform approximations of the eigenfunctions, eigenvalues decay and behaviour, Cauchy singular integral equations in spaces of continuous functions and methods for their numerical solution, Optimal systems of nodes for Lagrange interpolation on bounded intervals. A survey, A note on a paper by G. Mastroianni and G. Monegato, Numerical Evaluation of Cauchy Principal Value Integrals with Singular Integrands, The numerical evaluation of Cauchy principal value integrals with non-standard weight functions, Legendre polynomials of the second kind, Fourier series and Lagrange interpolation

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