# Bessel function with shifted argument

Is there any standard practice which may represents $J_m(a\pm kx)$ in terms of $J_m(kx)$

-

## migrated from mathematica.stackexchange.comMar 20 '14 at 18:35

This question came from our site for users of Mathematica.

Please ask your question at Mathematics. This is a site for the Mathematica software. –  rm -rf Mar 20 '14 at 15:17

In wikipedia it states (http://en.wikipedia.org/wiki/Bessel_function). \begin{align} I_\nu(z_1+z_2)=\sum_{k=-\infty}^{\infty}I_{\nu-k}(z_1)I_k(z_2) \end{align} However I am not sure where this is referenced from.

-