TAU-METHOD APPROXIMATIONS FOR THE BESSEL-FUNCTION Y-O(Z)

Authors
ZHANG J BELWARD JA
Citation
J. Zhang et Ja. Belward, TAU-METHOD APPROXIMATIONS FOR THE BESSEL-FUNCTION Y-O(Z), Computers & mathematics with applications, 30(7), 1995, pp. 5-14
Citations number
16
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Interdisciplinary Applications
Journal title
Computers & mathematics with applications → ACNP
ISSN journal
08981221
Volume
30
Issue
7
Year of publication
1995
Pages
5 - 14
Database
ISI
SICI code
0898-1221(1995)30:7<5:TAFTBY>2.0.ZU;2-J
Abstract
We exploit the Lanczos tau-method, with perturbations proportional to Faber polynomials, to approximate the Bessel function of the second ki nd Y-0(z) for specific regions of the complex plane. Accuracy comparis ons are made among the power series, direct and integrated forms of th e tau-method and the Chebyshev series.