scipy.special.hankel2e#
- scipy.special.hankel2e(v, z, out=None) = <ufunc 'hankel2e'>#
- Exponentially scaled Hankel function of the second kind - Defined as: - hankel2e(v, z) = hankel2(v, z) * exp(1j * z) - Parameters:
- varray_like
- Order (float). 
- zarray_like
- Argument (float or complex). 
- outndarray, optional
- Optional output array for the function values 
 
- Returns:
- scalar or ndarray
- Values of the exponentially scaled Hankel function of the second kind. 
 
 - Notes - A wrapper for the AMOS [1] routine zbesh, which carries out the computation using the relation, \[H^{(2)}_v(z) = -\frac{2}{\imath\pi} \exp(\frac{\imath \pi v}{2}) K_v(z exp(\frac{\imath\pi}{2}))\]- where \(K_v\) is the modified Bessel function of the second kind. For negative orders, the relation \[H^{(2)}_{-v}(z) = H^{(2)}_v(z) \exp(-\imath\pi v)\]- is used. - References [1]- Donald E. Amos, “AMOS, A Portable Package for Bessel Functions of a Complex Argument and Nonnegative Order”, http://netlib.org/amos/