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MathGroup Archive 2000

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ReBessel Function/MeijerG/no bug

  • To: mathgroup at smc.vnet.net
  • Subject: [mg24058] Re[mg24048]Bessel Function/MeijerG/no bug
  • From: Roberto Brambilla <rlbrambilla at cesi.it>
  • Date: Thu, 22 Jun 2000 01:01:50 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Dear Richard,

may be the bug has been "inserted" in version 4.
With Mathematica 3 I have the correct results that
agree with the numerical results.
If a^2>0 and Re[k]>1/2, I obtained

intg1=-I/(32Sqrt[2]Pi^2)MeijerG[{{1-k},{1,1+k}},
      {{-1/2,-1/4,0,1/4,1/2},{}},(1-I)/(4a),1/4]
				                                   

intg2=+I/(32Sqrt[2]Pi^2)MeijerG[{{1-k},{1,1+k}},
      {{-1/2,-1/4,0,1/4,1/2},{}},(1+I)/(4a),1/4]

Note the last parameter  r=1/4 that generalize MeijerG,
as explained in the index of built-in function of Math.Book.
Numerically, with a=1. and k=1 :

intg1 = 0.0576747+0.0580411 I
intg2 = 0.0576747-0.0580411 I

Regards 
Roberto
Roberto Brambilla
CESI
Via Rubattino 54
20134 Milano
tel +39.2.2125.5875
fax +39.2.2125.610
rlbrambilla at cesi.it



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