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Mathematics of Computation

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Miniaturized tables of Bessel functions. III

Author: Yudell L. Luke
Journal: Math. Comp. 26 (1972), 237-240
MSC: Primary 65A05
MathSciNet review: 0298888
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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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Keywords: Bessel functions, approximation of bivariate functions, expansions in double series of Chebyshev polynomials, mathematical tables
Article copyright: © Copyright 1972 American Mathematical Society

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