MathGroup Archive 2005

[Date Index] [Thread Index] [Author Index]

Search the Archive

an Integrate question


Dear MathGroup
I am trying to find an analytical answer for an integral such as:
(1) Integrate[Exp[-m Sqrt[x^2+b^2]]/(x+Sqrt[x^2+b^2]),{x,0,Infinity}]
where b and m can be Complex.
I know that
(2) Integrate[1/(E^(m x)*(x+Sqrt[x^2+b^2])),{x,0,Infinity}] has an
analytical answer although Mathematica cannot find and it is:
(3) Pi/(2 b m) (StruveH[1,b m]-BesselY[1, b m]) - 1/(b^2 m^2)
The response (3) checks with the answer I get from NIntegrate even when
b and m are complex.
So I was wondering if any of you guys could help me figure out whether
or not an analytical result for (1) is possible.
BTW I can get the numerical results in (2) using NIntegrate.
So any suggestions or comments on how I can solve (1) are highly
appreciated.
I forgot to say, I am using Mathematica 5.1 on windows.
Nice Regards
Antonio


  • Prev by Date: Re: Directed Graph from Adjacency Matrix
  • Next by Date: Re: Validating functions input
  • Previous by thread: Re: Symbolic Constrained Maximization
  • Next by thread: Re: an Integrate question