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Topic: Linear combination of Bessel functions
Replies: 2   Last Post: Sep 14, 2011 4:41 AM

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 Bob Hanlon Posts: 2,604 Registered: 1/29/05
Re: Linear combination of Bessel functions
Posted: Sep 14, 2011 4:41 AM

expr = r^2 + Cos[r] BesselJ[0, rho r] + 3 Sin[r] BesselJ[1, rho r] +
Log[r] BesselJ[2, rho r];

Depending on how you want to handle r^2 term:

List @@ expr /. BesselJ[_, _] -> 1

{r^2, Cos[r], Log[r], 3*Sin[r]}

Cases[List @@ expr, c_. * BesselJ[_, _] -> c]

{Cos[r], Log[r], 3*Sin[r]}

Bob Hanlon

---- Sam Takoy <sam.takoy@yahoo.com> wrote:

=============
Hi,

Suppose I have an expression that's a linear combination of Bessel
function. Kind of like this

r^2 + Cos[r] BesselJ[0, rho r] + 3 Sin[r] BesselJ[1, rho r] + Log[r]
BesselJ[2, rho r]

Is there a way to extract the coefficients of the linear combination?

Thanks,

Sam

Date Subject Author
9/14/11 lshifr@gmail.com
9/14/11 Bob Hanlon