TUbesselFN TCL UTILITIES USER MANUAL TUbesselFN
SYNOPSIS
Compute Bessel Functions J0, J1, I0, I1, K0, or K1.
PACKAGE
TCLUTILS
NAME
TUarrayMath
USAGE
set rV  [TUbesselFN  fN X]
INPUT DEFINITIONS
fN - Bessel Function to compute which must be one of: J0, J1, I0, I1, K0, K1.
X - Bessel Function argument.
RETURN DEFINITION
rV - Result of Bessel Function computation
DESCRIPTION
TUbesselFN computes the Bessel functions J0 or J1 or the modified Bessel Functions I0 or I1,for any real X. It also computes the modified Bessel Functions K0 or K1 or any positive real X. The value of the Bessel Function is returned through the procedure.
ERRORS
None Generated
C BACKING
No
EXAMPLE(S) 
# COMPUTE the Bessel Functions J0, J1, I0, I1 and
#   K0, K1 at 2.0

set J0 [TUbesselFN J0 2.0]
set J1 [TUbesselFN J1 2.0]
set I0 [TUbesselFN I0 2.0]
set I1 [TUbesselFN I1 2.0]
set K0 [TUbesselFN K0 2.0]
set K1 [TUbesselFN K1 2.0]

# PRINT out results

puts stderr "Bessel Function J0(2.0) = [format %.5f $J0]"
puts stderr "Bessel Function J1(2.0) = [format %.5f $J1]"
puts stderr "Bessel Function I0(2.0) = [format %.5f $I0]"
puts stderr "Bessel Function I1(2.0) = [format %.5f $I1]"
puts stderr "Bessel Function K0(2.0) = [format %.5f $K0]"
puts stderr "Bessel Function K1(2.0) = [format %.5f $K1]"

> Bessel Function J0(2.0) = 0.22389
> Bessel Function J1(2.0) = 0.57672
> Bessel Function I0(2.0) = 2.27959
> Bessel Function I1(2.0) = 1.59064
> Bessel Function K0(2.0) = 0.11389
> Bessel Function K1(2.0) = 0.13987
Sept 14, 2006