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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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Approximations for the Bessel and Struve functions
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by J. N. Newman PDF
Math. Comp. 43 (1984), 551-556 Request permission

Abstract:

Polynomials and rational-fraction approximations with minimax accuracy are presented for the Bessel functions of the first and second kind of orders zero and one, and for the Struve functions of the same order. The accuracy of these approximations is consistent with typical single-precision computations. The results for the Bessel functions improve upon those in Abramowitz and Stegun [1].
References
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  • E. E. Allen, Analytical approximations, Math. Tables Aids Comput. 8 (1954), 240–241. MR 64483, DOI 10.1090/S0025-5718-1954-0064483-1
  • Y. L. Luke, Approximation of Special Functions, Academic Press, New York, 1975.
  • C. W. Clenshaw, Chebyshev series for mathematical functions, National Physical Laboratory Mathematical Tables, Vol. 5, Her Majesty’s Stationery Office, London, 1962. Department of Scientific and Industrial Research. MR 0142793
  • J. F. Hart, et al., Computer Approximations, Wiley, New York, 1968.
  • J. G. Hayes (ed.), Numerical approximation to functions and data, The Athlone Press [University of London], London, 1970. Conference of the Institute of Mathematics and its Applications held in Canterbury, 1967. MR 0519133
  • F. S. Acton, Numerical Methods that Work, Harper & Row, New York, 1970.
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Additional Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Math. Comp. 43 (1984), 551-556
  • MSC: Primary 65D20; Secondary 33A40
  • DOI: https://doi.org/10.1090/S0025-5718-1984-0758202-X
  • MathSciNet review: 758202