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Module i0

Module i0 

Source

Functionsยง

bessel_rsqrt_hard ๐Ÿ”’
eval_small_hard_3p6_to_7p5 ๐Ÿ”’
f_i0
Modified Bessel of the first kind of order 0
i0_0_to_3p6_dd ๐Ÿ”’
Computes I0 on interval [-7.5; -3.6], [3.6; 7.5] as rational approximation I0 = 1 + (x/2)^2 * Pn((x/2)^2)/Qm((x/2)^2))
i0_0_to_3p6_exec ๐Ÿ”’
i0_0_to_3p6_hard ๐Ÿ”’
i0_3p6_to_7p5_dd ๐Ÿ”’
i0_7p5_to_9p5 ๐Ÿ”’
Mid-interval [7.5;9.5] generated by Wolfram: I0(x)=R(1/x)/sqrt(x)*Exp(x)
i0_7p5_to_9p5_hard ๐Ÿ”’
Mid-interval [7.5;9.5] generated by Wolfram Mathematica: I0(x)=R(1/x)/sqrt(x)*Exp(x) Polynomial generated by Wolfram Mathematica:
i0_asympt ๐Ÿ”’
I0(x)=R(1/x)*Exp(x)/sqrt(x) Generated in Wolfram:
i0_asympt_hard ๐Ÿ”’
I0(x)=R(1/x)*Exp(x)/sqrt(x) Generated in Wolfram:
i3p6_to_7p5 ๐Ÿ”’
Computes I0 on interval [-7.5; -3.6], [3.6; 7.5]