Skip to main content
Log in

On cauchy-frullani integrals

  • Published:
Commentarii Mathematici Helvetici

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  • Agnew, R. P. [1]Limits of integrals, Duke M. J.9 (1942), 10–19.

    Article  MATH  MathSciNet  Google Scholar 

  • Agnew, R. P. [2]Mean values and Frullani integrals, Proc. Am. Math. Soc.2 (1951), 237–241.

    Article  MATH  MathSciNet  Google Scholar 

  • Agnew, R. P. [3]Frullani integrals and variants of the Egoroff theorem on essentially uniform convergence, Publ. de l'Institut Math. de l'Académic Serbe des Sc. VI (1954), 12–16.

    MathSciNet  Google Scholar 

  • Banach, S. [1]Sur l'équation fonctionelle f(x+y)=f(x)+f(y), Fund. Math.I (1920), 123–124.

    Google Scholar 

  • Cauchy, A. [1]Analyse Algébrique, Oeuvres compl. (2) III, première partie, chap. II, §III, Th. I, p. 541.

  • Cauchy, A. [2]J. Ec. Pol. XIX e cah., XII, 1823; Oeuvres compl. (2) I, 335, 339.

  • Cauchy, A. [3]Exercises de Mathématiques, 1827, Oeuvres compl. (2) VII, p. 157.

    Google Scholar 

  • Cauchy, A. [4]Ex. d'Analyse, II, 1841; Oeuvres compl. (2) XII, 416–417.

    Google Scholar 

  • Courant-Hilbert [1]Methoden der mathematischen Physik, 1. Auflage, Bd. 1 (1924), 393.

    Google Scholar 

  • Fréchet, M. [1]L'enseignement mathématique XV (1913), 390–393.

    Google Scholar 

  • Frullani, G. [1]Sopra Gli Integrali Definiti, Memorie della Societa Italiana delle Scienze, Modena20 (1928), pp. 448–467. See, however, for the publication date the footnote2) to sec. 1.

    Google Scholar 

  • Hardy, G. H. [1]A generalisation of Frullani's integral, Mess. of Math. (2)34 (1904), 11–18, 102; Collected Papers, V, pp. 371–379.

    Google Scholar 

  • Iyengar, K. S. K. [1]On Frullani integrals, J. Indian math. Soc. (2)4 (1940), 145–150, reprinted as

    MathSciNet  MATH  Google Scholar 

  • Iyengar, K. S. K. [2]On Frullani integrals, Proc. Cambridge phil. Soc.37 (1941), 9–13.

    Article  MATH  MathSciNet  Google Scholar 

  • Lerch, M. [1]Sur une extension de la formule de Frullani, Verhandl. der Prager Akad., math.-phys. Klasse I2, 1891, pp. 123–131.

  • Lerch, M. [2]Généralisation du théorème de Frullani, Sitz.-Berichte der Kgl. Böhm. Ges. der Wiss., Prag, 1893.

  • Ostrowski, A. M. [1]On some generalisations of the Cauchy-Frullani integral Proc. Nat. Ac. Sc., Washington,35 (1949), 612–616.

    Article  MATH  MathSciNet  Google Scholar 

  • Sierpinski, W. [1]Sur l'équation fonctionelle f(x+y)=f(x)+f(y), Fund. Math.I (1920), 116–122.

    Google Scholar 

  • Titchmarsh, E. C. [1]The Zeta-function of Riemann, Cambridge Tracts in Math. and math. Physics, 1930, p. 30.

  • Tricomi, F. G. [1]On the theorem of Frullani, Am. Math. Monthly LVII (1951), 158–164.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Sponsored in part by the Swiss National Science Foundation. Sponsored in part under the Grant DA-ERO-75-G-035 of the European Research Office, United States Army, to the Institute of Mathematics, University of Basel.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ostrowski, A.M. On cauchy-frullani integrals. Commentarii Mathematici Helvetici 51, 57–91 (1976). https://doi.org/10.1007/BF02568143

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02568143

Keywords

Navigation