I have obtained the following solution for inhomogeneous Helmholtz equation
\begin{align*} W(u) = \dfrac{i}{2 \lambda} e^{i \lambda u} \int_{0}^u J_{n}(\lambda u^{'})e^{-i \lambda u^{'}} du^{'} \end{align*} Could someone please help me on how to integrate this product of two functions MATHEMATICA? Thank you.
I/(2 λ) Exp[I λ u] Integrate[BesselJ[n, λ z] Exp[-I λ z], {z, 0, u}]
- neither can Rubi solve it. Maybe you know values forλ
andu
andn
in which case you could numerically integrate, otherwise I'm afraid you're out of luck. $\endgroup$