hv1

constexpr Complex hv1(const double v, const Complex &z) noexcept: Evaluates the Hankel function of the first 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 first kind are defined as:

\[H_{n}^{(1)}(z) = J_n(z) + iY_n(z)\]

Example

int n = 0.5;
Complex z = 1 + 1_j;
std::cout << hv1(n, z) << "\n";

Output:

0.139216 - 0.201651j

References