Timeline for Integrating over Bessel Function erroneous? (Hankel Transform)
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Feb 2, 2013 at 15:05 | comment | added | kram1032 |
Integrate[(Sin[t]-t Cos[t])/t^2 BesselJ[0,t x],{t,0,Infinity},Assumptions->x>0] should return something equivalent to UnitBox[x/2]Sqrt[1-x^2] (at least for x>0) but doesn't get evaluated at all. Without assumptions, it returns ConditionalExpression[0,x>1 || x<-1] - basically the same problem but not fixable with that simple assumption.
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| Feb 2, 2013 at 14:56 | comment | added | kram1032 | @m_goldberg of course, that bit of simplifying would make it a bit faster but it's less general. I had this problem with more complex functions as input as well. Ones that wouldn't simplify so readily. | |
| Feb 2, 2013 at 14:55 | comment | added | kram1032 | That apparently works. Weird. I think I previously had a case where it didn't. | |
| Feb 2, 2013 at 14:45 | comment | added | m_goldberg |
Why not Integrate[BesselJ[1, t] BesselJ[0, x t], {t, 0, Infinity}, Assumptions -> {x > 0}]?
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| Feb 2, 2013 at 14:06 | review | Low quality posts | |||
| Feb 2, 2013 at 14:46 | |||||
| Feb 2, 2013 at 13:50 | history | answered | b.gates.you.know.what | CC BY-SA 3.0 |