pi
Parameters
- const Complex &z
A complex number.
Returns
- type Complex
A complex number.
The pi function is another extrapolation of the factorial function, closely related to the gamma function. It is defined as follows:
\[\Pi(z) = \int_{0}^{\infty} t^{z}e^{-t}dt\]
The pi function may be written in terms of the gamma function as follows:
\[\Pi(z) = \Gamma(z + 1)\]
Example
Complex z = 1.0 + 1_j;
std::cout << pi(z) << "\n";
Output:
0.652965 + 0.343066j
References