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Evaluation of Principal Value Integrals

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A Course on Integral Equations

Part of the book series: Texts in Applied Mathematics ((TAM,volume 9))

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Abstract

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.

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References

  • A. Erdelyi et al., Tables of Integral Transforms, Vol. 2. McGraw-Hill, New York, 1954.

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  • J.M. Golden and G.A.C. Graham, Boundary Value Problems in Linear Viscoelasticity. Springer-Verlag, Berlin, Heidelberg, 1988.

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  • R.T. Jones and D. Cohen, High Speed Wing Theory. Princeton University Press, Princeton, 1960.

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© 1991 Springer Science+Business Media New York

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Pipkin, A.C. (1991). Evaluation of Principal Value Integrals. In: A Course on Integral Equations. Texts in Applied Mathematics, vol 9. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4446-2_9

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  • DOI: https://doi.org/10.1007/978-1-4612-4446-2_9

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-8773-5

  • Online ISBN: 978-1-4612-4446-2

  • eBook Packages: Springer Book Archive

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