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The Theory of Cauchy's Principal Values. (Second Paper: The use of Principal Values in some of the Double Limit Problems of the Integral Calculus.)

G. H. Hardy

Type: Article

Publication Date: 1901-03-01

Citations: 3

DOI: https://doi.org/10.1112/plms/s1-34.1.55

Abstract

Theory of Ganchy's Principal Values.57 Let us suppose further that Ja dx is convergent for every value of n, and that » fA 2 P I u n (x) dx o Ja is convergent.Then the right-hand side is 2 JP I ti,,rfcc-2 JP I W,,£?*B

Locations

  • Proceedings of the London Mathematical Society - View
  • Zenodo (CERN European Organization for Nuclear Research) - View - PDF

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+ Godfrey Harold Hardy 1950 E. C. Titchmarsh
+ The integral formula of Poisson with principal value integrals and some special Gradshteyn and Ryzhik integrals 2015 Khristo N. Boyadzhiev
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