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Student Support Forum: 'Bessel integral - Strange Hypergeometric Function' topicStudent Support Forum > General > "Bessel integral - Strange Hypergeometric Function"

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Hugo
12/04/12 03:08am

In Response To 'Re: Re: Re: Bessel integral - Strange Hypergeom...'
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Yes indeed "//fullform" makes clear now that the derivative is involved. The 0F1 function has 2 arguments in the general case "b" and "z". In my case b=1 and z=-(k0*r/2)^2 therefore the first argument is a numerical value: "1".

If I give e.g. this input:
f[x_, y_]:= x^2*y^2 (or whatever)

and then of course
D[f[1, y], x]=0

I recall furthermore that
0F1[1;-(k0*r/2)^2]=J0(k0*r)
As it can be easily checked using "FullSimplify"

Still problematic ! Maybe Mathematica 9 could help ;)

PS: "Regularized" means that one has to divide by the gamma function \Gamma[b]=\Gamma[1]=1

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Subject (listing for 'Bessel integral - Strange Hypergeometric Function')
Author Date Posted
Bessel integral - Strange Hypergeometric Function Hugo 11/26/12 12:02pm
Re: Bessel integral - Strange Hypergeometric Fu... yehuda 11/28/12 01:36am
Re: Re: Bessel integral - Strange Hypergeometri... Hugo 11/28/12 2:13pm
Re: Re: Re: Bessel integral - Strange Hypergeom... Michael 12/01/12 11:09pm
Re: Re: Re: Re: Bessel integral - Strange Hyper... Hugo 12/04/12 03:08am
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