Message Boards Message Boards


Modified Bessel function of the second kind

Posted 2 months ago
2 Replies
0 Total Likes

The modified Bessel functions of the second kind K_m can be represented by: enter image description here

I tried to calculate this integral with Mathematica Version 12:

f[t_] := Exp[-x*Cosh[t]]*Cosh[m*t];
Integrate[f[t], {t, 0, Infinity}]

Unfortunately Mathematica does give no result by solving the integral above. Can someone explain me, how to solve this integral with Mathematica. Thank you for your help in advance. Ruediger

2 Replies
Posted 2 months ago

Check out the inbuilt function BesselK

Thank you, but I know this inbuilt function BesselK. My hope was that Methematica will give me This answer by solving the integral above. Mathematica writes only the integral as result.

Reply to this discussion
Community posts can be styled and formatted using the Markdown syntax.
Reply Preview
or Discard

Group Abstract Group Abstract