AngouriMath
Erfc(AngouriMath.Entity.Number.Complex)
Method (no overloads)
Summary
The complementary error function, erfc(z) = 1 - erf(z) , at the working
precision, for every complexz .
precision, for every complex
Remarks
Computed on its own in the right half-plane rather than as 1 - erf(z) at the
working precision. Thereerf(z) approaches 1, and the difference would keep
only the digits oferf(z) past its leading nines: erfc(10) is about
2.1e-45 . Where |z|^2 is past the series' reach it is the asymptotic
series itself. Short of that,erf(z) is carried with Re(z^2)/ln 10 more
digits, which is how many of its digits the subtraction cancels.
working precision. There
only the digits of
series itself. Short of that,
digits, which is how many of its digits the subtraction cancels.
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