Fractional approximations to the Bessel function J0(x)
- 1 April 1985
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 26 (4), 705-707
- https://doi.org/10.1063/1.526610
Abstract
A method to obtain fractional approximations to the Bessel function J0(x) is reported here. This method improves a recently published one principally in that all the parameters are uniquely determined by linear equations. Our approximations give fairly good accuracy for all real, positive values. The maximum absolute error for the first‐degree approximation is about 0.0035, and for the fourth‐degree one, about 2.8×10−6.Keywords
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