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scipy.special.hankel2¶
- scipy.special.hankel2(v, z) = <ufunc 'hankel2'>¶
Hankel function of the second kind
Parameters: v : array_like
Order (float).
z : array_like
Argument (float or complex).
Returns: out : Values of the Hankel function of the second kind.
See also
- hankel2e
- this function with leading exponential behavior stripped off.
Notes
A wrapper for the AMOS [R377] routine zbesh, which carries out the computation using the relation,
H(2)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(2)−v(z)=H(2)v(z)exp(−ıπv)is used.
References
[R377] (1, 2) Donald E. Amos, “AMOS, A Portable Package for Bessel Functions of a Complex Argument and Nonnegative Order”, http://netlib.org/amos/