Gaussian integration formulas for logarithmic weights and application to 2-dimensional solid-state lattices

DOI10.1016/j.jat.2018.02.001zbMath1386.65096OpenAlexW2789688627MaRDI QIDQ1704132

Alphonse P. Magnus

Publication date: 8 March 2018

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2018.02.001

zbMATH Keywords

2-dimensional latticesChebyshev momentsGaussian integration formulas

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Numerical quadrature and cubature formulas (65D32) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Numerical integration (65D30)

Related Items (1)

Recurrence coefficients for orthogonal polynomials with a logarithmic weight function

Uses Software

• DLMF
• Chebfun
• OPQ
• GQLOG

Cites Work

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• Some classical multiple orthogonal polynomials
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