MathGroup Archive: April 2006 [00180]

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How to do integration symbolically with cauchy principal values

To: mathgroup at smc.vnet.net
Subject: [mg65636] How to do integration symbolically with cauchy principal values
From: "simon yang" <yanshanguke at 163.com>
Date: Tue, 11 Apr 2006 04:04:50 -0400 (EDT)
Sender: owner-wri-mathgroup at wolfram.com

Dear everyone,
I meet a cauchy integration when calculating optical functions with
Kramers-Kronig integration:
\!\(\(Ïµ\_1\) \((x)\) =
        constant + \(2\/Ï?\) P \(â?«\_x0\%â??\(\( Î¾*\(Ïµ\_2\)
\((Î¾)\)\)\/\(Î¾\^2 -
         x\^2\)\) \[DifferentialD]Î¾\)\)
How to do it symbolically in Mathematica?
And how to develope software with Mathematica with interfaces like VC++
?

Follow-Ups:
- Re: How to do integration symbolically with cauchy principal values
  - From: "Carl K. Woll" <carlw@wolfram.com>

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