Bessel function replacement rules

*To*: mathgroup at smc.vnet.net*Subject*: [mg24462] Bessel function replacement rules*From*: Ole Henrik Waagaard <Ole.Waagaard at fysel.ntnu.no>*Date*: Tue, 18 Jul 2000 00:59:07 -0400 (EDT)*Organization*: Norwegian university of science and technology*Sender*: owner-wri-mathgroup at wolfram.com

I'm currently working on solutions of the wave equation in cylindrical coordinates, and the Bessel functions appear frequently. In the calculations I want to use the following recurrence relation, BesselJ[n,z]/z=(1/2n)(BesselJ[n-1,z]-BesselJ[n+1,z]) in all possible occurrences. Neither FullSimply or FunctionExpand will do this replacement. Is there a way to force Mathematica to do this? I'm using Mathematica 4 for Linux. ---- Ole Henrik Waagaard Doctorate student Department of Physical Electronics Norwegian University of Technology and Science Phone: +47 73594406 E-mail: Ole.Waagaard at fysel.ntnu.no