The Struve function StruveH(v, x) solves the inhomogeneous Bessel equation

The modified Struve function StruveL(v, x) solves the inhomogeneous Bessel equation

$\mathrm{StruveH}\left(0\,0\right)$

$0$

$\mathrm{StruveL}\left(1.5-\mathrm{I}\,2.6+3\mathrm{I}\right)$

$\mathrm{-6.136109206}-0.3149238903\mathrm{I}$

$\mathrm{series}\left(\mathrm{StruveH}\left(\frac{1}{3}\,x\right)\,x\,4\right)$

$\frac{32^{\raisebox{1ex}{$2$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}{x}^{\raisebox{1ex}{$4$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}}{5\sqrt{\mathrm{\pi }}\mathrm{\Gamma }\left(\frac{5}{6}\right)}-\frac{32^{\raisebox{1ex}{$2$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}{x}^{\raisebox{1ex}{$10$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}}{55\sqrt{\mathrm{\pi }}\mathrm{\Gamma }\left(\frac{5}{6}\right)}+\mathrm{O}\left(x^4\right)$

$\mathrm{StruveH}\left(\frac{3}{2}\,x\right)$

$\mathrm{StruveH}\left(\frac{3}{2}\,x\right)$

$\mathrm{diff}\left(\mathrm{StruveL}\left(v\,x\right)\,x\right)$

$\mathrm{StruveL}\left(v+1\,x\right)+\frac{v\mathrm{StruveL}\left(v\,x\right)}{x}+\frac{{\left(\frac{x}{2}\right)}^v}{\sqrt{\mathrm{\pi }}\mathrm{\Gamma }\left(v+\frac{3}{2}\right)}$

Abramowitz, M., and Stegun, I., eds. Handbook of Mathematical Functions. New York: Dover, 1972.