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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}}      .

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