Evaluation of Principal Value Integrals

  • Allen C. Pipkin
Part of the Texts in Applied Mathematics book series (TAM, volume 9)


In the chapters to come we discuss some singular integral equations that involve Cauchy principal value integrals. The solution of such an equation usually can be expressed in the form of another principal value integral, but a solution in this form is not very useful unless the integral can be evaluated.


Real Axis Singular Integral Equation Integration Contour Finite Interval Closed Contour 
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  1. A. Erdelyi et al., Tables of Integral Transforms, Vol. 2. McGraw-Hill, New York, 1954.Google Scholar
  2. J.M. Golden and G.A.C. Graham, Boundary Value Problems in Linear Viscoelasticity. Springer-Verlag, Berlin, Heidelberg, 1988.CrossRefMATHGoogle Scholar
  3. R.T. Jones and D. Cohen, High Speed Wing Theory. Princeton University Press, Princeton, 1960.MATHGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • Allen C. Pipkin
    • 1
  1. 1.Center of Fluid Mechanics, Turbulence and ComputationBrown UniversityProvidenceUSA

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