SU\G(𝔸)/K·U

The Elementary Theory of Cauchy's Principal Values

G. H. Hardy

Type: Article

Publication Date: 1901-03-01

Citations: 3

DOI: https://doi.org/10.1112/plms/s1-34.1.16

Abstract

There are, so far as I know, no English words of general use in this connexion equivalent to the German eigentlich, unclgentlich." Finite " and "infinite " do, I think, really express the distinction in a way the German words do not.It has indeed been suggested to me as a possible objection that " infinite integral " ought to mean " integral whose value is infinite, divergent integral."But nobody supposes that an '' infinite series '' is necessarily divergent, and I hardly see why confusion should be more likely to arise in one case than in the other.

Locations

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

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Works That Cite This (3)

Action Title Year Authors
+ 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
+ Poisson's formula with principal value integrals and some special Gradshteyn and Ryzhik integrals 2015 Khristo N. Boyadzhiev

Works Cited by This (0)

Action Title Year Authors