Let denote the Bessel function of the first kind. Prove that:

**Solution**

The Jacobi – Anger expansion tells us that

Hence by Parseval’s Theorem it follows that:

A site of university mathematics

Home » Uncategorized » Bessel series

Let denote the Bessel function of the first kind. Prove that:

**Solution**

The Jacobi – Anger expansion tells us that

Hence by Parseval’s Theorem it follows that: