math people!

[alphatarget1]

Let's say I have to take the limit of a modified Bessel function of 1st and 2nd kind...

lim x>infinity Io(ax)*Ko(bx)
lim x>0+ Io(ax)*Ko(bx)

a and b are positive constants

Mathematica doesn't really like it. Are there analytical ways to do this?

 

[Tiamat]

good luck, i havent done bessel functions in a while, so i have lost it all 🙁

 

[alphatarget1]

Originally posted by: Tiamat
good luck, i havent done bessel functions in a while, so i have lost it all 🙁

I don't really have to "do" these bessel functions. I need to take their limits. The stuff is actually in laplace domain so I'm trying to use the initial and final value theorem...

lim s>infinity sF(s)=f(0)
lim s>0 sF(s)=f(infinity)