hankel1( n , z )

The Hankel function of the first kind of z in SageMath. Defined in terms of Bessel functions by

\[ H_n(z) = J_n(z) + i Y_n(z) \]

Plot of the real part on the real axis:

Plot of the imaginary part on the real axis:

Series expansion about the origin:

Special values:

Related functions:   hankel2   bessel_J   bessel_Y

Function category: Bessel functions sagemath-docs