Rational Chebyshev approximations for the modified Bessel functions 𝐼₀(𝑥) and 𝐼₁(𝑥)

J. M. Blair

Journal ArticleOPEN ACCESS

Rational Chebyshev approximations for the modified Bessel functions 𝐼₀(𝑥) and 𝐼₁(𝑥)

Blair J

Mathematics of Computation (1974) 28(126) 581-583

DOI: 10.1090/s0025-5718-1974-0341810-1

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Abstract

This note presents nearly-best rational approximations for the functions I 0 ( x ) {I_0}(x) and I 1 ( x ) {I_1}(x) , with relative errors ranging down to 10 − 23 {10^{ - 23}} .

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Blair, J. M. (1974). Rational Chebyshev approximations for the modified Bessel functions 𝐼₀(𝑥) and 𝐼₁(𝑥). Mathematics of Computation, 28(126), 581–583. https://doi.org/10.1090/s0025-5718-1974-0341810-1

Rational Chebyshev approximations for the modified Bessel functions 𝐼₀(𝑥) and 𝐼₁(𝑥)

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