Approximation of the Bessel function \(J_ n(\)x) by numerical integration

DOI10.1016/0771-050X(81)90040-1zbMath0454.65013MaRDI QIDQ1149731

S. H. Smith

Publication date: 1981

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Bessel functionquasi-gaussian quadrature formula

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Numerical quadrature and cubature formulas (65D32) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (1)

On computation of the Bessel function by summing up the series

Cites Work

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• Alcuni problemi relativi alle formule di quadratura del tipo di Tchebycheff
• The special functions and their approximations. Vol. I, II
• Numerical Calculation of Certain Definite Integrals by Poisson's Summation Formula
• Simple Formulas for the Evaluation of Some Higher Transcendental Functions
• Further remarks concerning the relative accuracy of Simpson's and the trapezoidal rule for a certain class of functions
• The Calculation of Certain Bessel Functions
• Error Estimates for Luke's Approximation Formulas for Bessel and Hankel Functions
• Computation of J _n (x) by numerical integration
• The Evaluation of a Class of Functions Defined by an Integral

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