Timeline for Product of probability densities of the form x^{-t} exp (-ax)
Current License: CC BY-SA 3.0
4 events
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| Oct 18, 2012 at 2:40 | comment | added | Robert Israel | For example, series expansion around $0$: for non-integer $\nu$, $$K_\nu(x) = \sum _{k=0}^{\infty }{\frac {{2}^{\nu-2\,k-1}\pi \,{x}^{-\nu+2\,k}} { \left( k-\nu \right) !\,k!\,\sin \left( \pi \,\nu \right) }}-{ \frac {{2}^{-\nu-2\,k-1}\pi \,{x}^{\nu+2\,k}}{ \left( \nu+k \right) !\,k !\,\sin \left( \pi \,\nu \right) }} $$ See also wolframalpha.com/input/?i=BesselK[nu%2Cx] | |
| Oct 18, 2012 at 0:56 | comment | added | Heiko Hoffmann | Thanks. I also came across the modified Bessel function of the second kind. Is there a good approximation of K? | |
| Oct 17, 2012 at 23:18 | history | edited | Robert Israel | CC BY-SA 3.0 |
added 23 characters in body
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| Oct 17, 2012 at 23:12 | history | answered | Robert Israel | CC BY-SA 3.0 |