This is documentation for an old release of SciPy (version 0.18.1). Read this page in the documentation of the latest stable release (version 1.15.1).
scipy.special.hankel1e¶
- scipy.special.hankel1e(v, z) = <ufunc 'hankel1e'>¶
Exponentially scaled Hankel function of the first kind
Defined as:
hankel1e(v, z) = hankel1(v, z) * exp(-1j * z)
Parameters: v : array_like
Order (float).
z : array_like
Argument (float or complex).
Returns: out : Values of the exponentially scaled Hankel function.
Notes
A wrapper for the AMOS [R376] routine zbesh, which carries out the computation using the relation,
H(1)v(z)=2ıπexp(−ıπv/2)Kv(zexp(−ıπ/2))where Kv is the modified Bessel function of the second kind. For negative orders, the relation
H(1)−v(z)=H(1)v(z)exp(ıπv)is used.
References
[R376] (1, 2) Donald E. Amos, “AMOS, A Portable Package for Bessel Functions of a Complex Argument and Nonnegative Order”, http://netlib.org/amos/