Complex bessel function
- To: mathgroup at smc.vnet.net
- Subject: [mg75167] Complex bessel function
- From: "Grasley, Zachary" <zgrasley at civil.tamu.edu>
- Date: Thu, 19 Apr 2007 04:31:01 -0400 (EDT)
I am currently trying to isolate the real and imaginary components of
first and second order modified Bessel functions. For example, I have a
function expressed as
F=BesselI[0,sqrt(i)*a+b], where i is the imaginary unit. Both a and b
are positive real. I need to separate out the real and imaginary
components of F symbolically. I have tried Re, Im, ComplexExpand, I
have used Assuming to define a and b as real and 0<a<infinity and
0<b<infinity. I have tried ComplexExpand. I have tried Refine[Im[F]].
I loaded the package ReIm.
All of these functions do a fine job separating the real and imaginary
components when I provide numeric values for a and b, but are unable to
solve symbolically. I thought Refine was supposed to solve symbolically
as if a numeric value has been assigned to the variables (with the value
range of the variable defined by Assuming or the assumptions listed in
Refine)? Am I missing some simple trick to solve this symbolically, or
is this not possible?
Thanks in advance!
Prev by Date:
Next by Date:
Re: functional programming
Previous by thread:
Re: ContourPlot3D Problem
Next by thread:
Re: Complex bessel function