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On summation formulas due to Plana, Lindelöf and Abel, and related Gauss-Christoffel rules. III

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Publication:1283247
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DOI10.1023/A:1022317224199zbMath0926.65001OpenAlexW4247920008MaRDI QIDQ1283247

Germund Dahlquist

Publication date: 30 November 1999

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022317224199


zbMATH Keywords

numerical examplessummation formulasGauss-Christoffel rulePlana summation


Mathematics Subject Classification ID

General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical quadrature and cubature formulas (65D32) Numerical summation of series (65B10)


Related Items (5)

Construction of Gaussian quadrature formulas for even weight functions ⋮ Summation Formulas of Euler–Maclaurin and Abel–Plana: Old and New Results and Applications ⋮ Quadrature processes for efficient calculation of the Clausen functions ⋮ Binet-type polynomials and their zeros ⋮ Nonstandard Gaussian quadrature formulae based on operator values







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