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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.98.

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Miniaturized tables of Bessel functions. III
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by Yudell L. Luke PDF
Math. Comp. 26 (1972), 237-240 Request permission

Abstract:

After the manner of our previous studies, coefficients for the expansion of ${J_\nu }(z)$ and ${Y_\nu }(z)$ in double series of Chebyshev polynomials are presented. For ${J_\nu }(z)$ the ranges are (1) $0 < z \leqq 8,0 \leqq \nu \leqq 4$, (2) $0 < z \leqq 8,4 \leqq \nu \leqq 8$. For ${J_\nu }(z) + i{Y_\nu }(z)$, the ranges are $z \geqq 5$ and $0 \leqq \nu \leqq 1$. The coefficients are given with sufficient accuracy to enable the evaluation of the Bessel functions to at least 20 decimals.
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Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Math. Comp. 26 (1972), 237-240
  • MSC: Primary 65A05
  • DOI: https://doi.org/10.1090/S0025-5718-1972-0298888-1
  • MathSciNet review: 0298888