The evaluation of Legendre functions of the second kind

DOI10.1007/BF02198295zbMath0827.65023MaRDI QIDQ1895979

D. B. Hunter

Publication date: 11 December 1995

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

numerical resultserror analysisLegendre functionstrapezoidal ruleHeine's integral representation

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Computation of special functions and constants, construction of tables (65D20)

Cites Work

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• A modified Gaussian quadrature rule for integrals involving poles of any order
• The special functions and their approximations. Vol. I, II
• Some Gauss-type formulae for the evaluation of Cauchy principal values of integrals
• Numerical Calculation of Certain Definite Integrals by Poisson's Summation Formula
• Simple Formulas for the Evaluation of Some Higher Transcendental Functions
• Error-Bounds for the Evaluation of Integrals by the Euler-Maclaurin Formula and by Gauss-Type Formulae
• The Calculation of Certain Bessel Functions
• On the Evaluation of Integrals Related to the Error Function
• Uniform Computation of the Error Function and Other Related Functions
• A Note on the Evaluation of the Complementary Error Function

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