A Class of Slowly Convergent Series and their Summation by Gaussian Quadrature

DOI10.2307/2938676zbMath0739.40002OpenAlexW4253619795MaRDI QIDQ3974538

Walter Gautschi

Publication date: 25 June 1992

Full work available at URL: https://doi.org/10.2307/2938676

zbMATH Keywords

orthogonal polynomialsGaussian quadratureslowly convergent seriesEuler-Maclaurin summation

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Laplace transform (44A10) Approximation to limiting values (summation of series, etc.) (40A25) Numerical integration (65D30)

Related Items (6)

Summation of series and Gaussian quadratures. II ⋮ The spiral of Theodorus, numerical analysis, and special functions ⋮ A new summation method for power series with rational coefficients ⋮ A Simple Approach to the Summation of Certain Slowly Convergent Series ⋮ Quadrature Formulas of Gaussian Type for Fast Summation of Trigonometric Series ⋮ A note on the summation of slowly convergent alternating series

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