Caruso, Francisco and Silveira, Felipe (2021) On new approximations for the modified Bessel function of the second kind K 0 ( x ). Open Journal of Mathematical Sciences, 5 (1). pp. 11-17. ISSN 26164906
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Abstract
A new series representation of the modified Bessel function of the second kind K 0 ( x ) in terms of simple elementary functions (Kummer’s function) is obtained. The accuracy of different orders in this expansion is analysed and has been shown not to be so good as those of different approximations found in the literature. In the sequel, new polynomial approximations for K 0 ( x ) , in the limits 0 < x ≤ 2 and 2 ≤ x < ∞ , are obtained. They are shown to be much more accurate than the two best classical approximations given by the Abramowitz and Stegun’s Handbook, for those intervals.
Item Type: | Article |
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Subjects: | Open Digi Academic > Mathematical Science |
Depositing User: | Unnamed user with email support@opendigiacademic.com |
Date Deposited: | 06 Jun 2023 07:31 |
Last Modified: | 24 Jul 2024 09:37 |
URI: | http://publications.journalstm.com/id/eprint/1010 |