Lommel function

Summary

The Lommel functions $s_{\mu,\nu}$ and $S_{\mu,\nu}$ are particular solutions of Bessel's equation with right-hand side $z^{\mu + 1}$. They contain the Struve function and the Anger function as special cases, up to adding Bessel functions. They give a common frame for the inhomogeneous Bessel equations met in physics.