Rational approximations for the modified Bessel function of the second kind
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Publication:1366196
DOI10.1016/0010-4655(90)90089-JzbMath0875.65036OpenAlexW2027469193MaRDI QIDQ1366196
Ernst Joachim Weniger, Jiří Cížek
Publication date: 11 November 1997
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0010-4655(90)90089-j
Padé approximation (41A21) Computation of special functions and constants, construction of tables (65D20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)
Related Items (21)
A Maple package for transforming series, sequences and functions ⋮ Mathematical properties of a new Levin-type sequence transformation introduced by Čı́žek, Zamastil, and Skála. I. Algebraic theory ⋮ Analytical and numerical studies of the convergence behavior of the \({\mathcal J}\) transformation ⋮ Global approximation for some functions ⋮ On the mathematical nature of Guseinov's rearranged one-range addition theorems for Slater-type functions ⋮ The monotonicity and convexity for the ratios of modified Bessel functions of the second kind and applications ⋮ Particular rules for the \(\Theta\)-algorithm ⋮ Interpolation between sequence transformations ⋮ Convergence acceleration via combined nonlinear-condensation transformations ⋮ Irregular input data in convergence acceleration and summation processes: General considerations and some special Gaussian hypergeometric series as model problems ⋮ Prediction of unknown terms of a sequence and its application to some physical problems ⋮ Bounds for modified Bessel functions of the first and second kinds ⋮ Multivariate approximants with levin-like transforms ⋮ A class of new transforms tailored for the hypergeometric series ⋮ On the summation of some divergent hypergeometric series and related perturbation expansions ⋮ On remainder estimates for Levin-type sequence transformations ⋮ The summation of the ordinary and renormalized perturbation series for the ground state energy of the quartic, sextic, and octic anharmonic oscillators using nonlinear sequence transformations ⋮ Scalar Levin-type sequence transformations ⋮ Prediction proberties of Aitken's iterated \(\Delta^2\) process, of Wynn's epsilon algorithm, and of Brezinski's iterated theta algorithm ⋮ Convergence analysis of the summation of the factorially divergent Euler series by Padé approximants and the delta transformation ⋮ Evaluation of the modified Bessel function of the third kind of imaginary orders
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