hv2

constexpr Complex hv2(const double v, const Complex &z) noexcept: Evaluates the Hankel function of the second kind [1] for a complex input and real order.

Parameters

const double v

A real number.

const Complex &z

A complex number.

Returns

type Complex

A complex number.

The Hankel functions of the second kind are defined as:

\[H_{n}^{(2)}(z) = J_n(z) - iY_n(z)\]

Example

int n = 0.5;
Complex z = 1 + 1_j;
std::cout << hv2(n, z) << "\n";

Output:

1.79659 + 0.32206j

References