erfi
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inline Complex erfi(const Complex &z) noexcept
Evaluates the erfi function [1] for a complex input.
Parameters
- const Complex &z
A complex number.
Returns
- type Complex
A complex number.
The erfi, or imaginary error function, is closely related to the error function and is defined as:
\[\DeclareMathOperator\erfi{erfi}
\erfi(z) = \frac{2}{\sqrt{\pi}} \int_{0}^{z}e^{t^2}dt\]
Example
Complex z = 1.0 + 1_j;
std::cout << erfi(z) << "\n";
Output:
0.190453 + 1.31615j
References