scipy.special.hankel1#
- scipy.special.hankel1(v, z, out=None) = <ufunc 'hankel1'>#
- Hankel function of the first kind - 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 Hankel function of the first kind. 
 
 - See also - hankel1e
- ndarray This function with leading exponential behavior stripped off. 
 - Notes - A wrapper for the AMOS [1] routine zbesh, which carries out the computation using the relation, \[H^{(1)}_v(z) = \frac{2}{\imath\pi} \exp(-\imath \pi v/2) K_v(z \exp(-\imath\pi/2))\]- where \(K_v\) is the modified Bessel function of the second kind. For negative orders, the relation \[H^{(1)}_{-v}(z) = H^{(1)}_v(z) \exp(\imath\pi v)\]- 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/