Recent content by Kopernikus89

well the first 2 summands equal 0 (i hope I've calculated this correctly) but its more a problem with the third one. how can i show that this will also become 0?

Hello I have the following problem: I must show that the Bessel function of order n\in Z J_n(x)=\int_{-\pi}^\pi e^{ix\sin\vartheta}e^{-in\vartheta}\mathrm{d}\vartheta is a solution of the Bessel differential equation x^2\frac{d^2f}{dx^2}+x\frac{df}{dx}+(x^2-n^2)f=0 Would be very...