A New Product Formula Involving Bessel Functions

Mohamed Amine Boubatra, Selma Negzaoui, Mohamed Sifi

In this paper, we consider the normalized Bessel function of index $\alpha >-\frac{1}{2}$, we find an integral representation of the term $x^n{j}_{\alpha +n}(x)j_{\alpha }(y)$. This allows us to establ…