Application of generalized Padé approximants to the special function evaluation problem

DOI10.1016/0021-9991(82)90097-3zbMath0491.65003OpenAlexW1999679967MaRDI QIDQ1167509

Andre Hautot

Publication date: 1982

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(82)90097-3

zbMATH Keywords

numerical examplesrapid convergenceE-algorithmgeneralized Pade approximantsMacLaurin expansion

Mathematics Subject Classification ID

Padé approximation (41A21) Computation of special functions and constants, construction of tables (65D20) Numerical summation of series (65B10)

Related Items (2)

Rational approximations for the modified Bessel function of the second kind ⋮ Coulomb and Bessel functions of complex arguments and order

Cites Work

• A general extrapolation algorithm
• A numerical algorithm for the evaluation of Weber parabolic cylinder functions U(a,x), V(a,x), and W(a,+-x)
• On the calculation of the parabolic cylinder functions. II: The function V(a,x)
• Accélération de la convergence en analyse numérique
• The special functions and their approximations. Vol. I, II
• Minimal Solutions of Three-Term Recurrence Relations and Orthogonal Polynomials
• Generalized neville type extrapolation schemes
• A GENERAL SYSTEM OF ORTHOGONAL POLYNOMIALS
• Table of the zeros and weight factors of the first fifteen Laguerre polynomials
• On a Device for Computing the e m (S n ) Transformation
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