expansion of a complex exponential in terms of Bessel functions
- To: mathgroup at smc.vnet.net
- Subject: [mg82244] expansion of a complex exponential in terms of Bessel functions
- From: "P. S. Ramanujam" <p.s.ramanujam at risoe.dk>
- Date: Tue, 16 Oct 2007 03:25:05 -0400 (EDT)
Dear MathForum Is there a way to expand a complex exponential function such as exp[i x_ Cos[y_]] in terms of Bessel functions in Mathematica? For example, Exp[i a Cos[b]]->Bessel[0,b]+Sum[i^n Bessel[J[n,b](Exp[i n b]+Exp[-i n b])? Regards P. S. Ramanujam