struve_H( n , z )

The Struve function of z in SageMath. A solution of the nonhomogeneous differential equation

$\frac{d^2 f}{dz^2} + \frac{1}{z} \frac{df}{dz} + \left[ 1 - \frac{n^2}{z^2} \right] f = \frac{ \left( \frac{ z }{ 2 } \right)^{n-1} } { \sqrt{\pi} \: \Gamma \left( n + \frac{ 1 }{ 2 } \right) }$

The second linearly independent solution of this equation is currently not implemented.

Plot on the real axis: