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Re: Identity from Erdelyi et al.

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  • Subject: [mg107860] Re: Identity from Erdelyi et al.
  • From: "Dr. C. S. Jog" <jogc at mecheng.iisc.ernet.in>
  • Date: Mon, 1 Mar 2010 04:43:23 -0500 (EST)

Hi:

I forgot to mention in my previous e-mail the constraints, $0<b<a$, and
Re(lam) >0. However, even if I incorporate these constraints using the
`Assuming' command, Mathematica still fails to evaluate the said integral.

Regards

Jog




On Sun, 28 Feb 2010, Mark McClure wrote:

> On Sat, Feb 27, 2010 at 3:14 AM, Dr. C. S. Jog
> <jogc at mecheng.iisc.ernet.in> wrote:
> > I am trying to verify one of the identities stated in Erdelyi et al.
> > `Tables of Integral Transforms', Vol. II, 1954, 19.3, pg. 353, No: 19. I
> > believe this identity is wrong and hence trying to verify it through
> > Mathematica.
> 
> I don't know how to evaluate your integral symbolically but, if you
> are simply trying to verify specific formulae, you could always check
> numerically.  For example, if the integral that you present arose by
> subtracting the two sides of an equation, then you might wish to check
> if the resulting integral is zero.  If you set a, b, and lam to
> specific values (I chose 1, 1, and 2) then it is not too hard to show
> the answer is no.   Of course, I can't tell that for sure from your
> email that's what you want, but it still serves to illustrate the
> idea.
> 
> Mark McClure
> 
> 


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