Skip to main content
Log in

Pringsheim-type convergence indicators for branching continued fractions

  • Brief Communications
  • Published:
Ukrainian Mathematical Journal Aims and scope

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.

Literature cited

  1. W. B. Jones and W. J. Thron, Continued Fractions: Analytic Theory and Applications, Addison-Wesley, Reading (1980).

    Google Scholar 

  2. O. Perron, Die Lehre von Kettenbruchen, Vol. 2, Teubner, Stuttgart (1957).

    Google Scholar 

  3. I. V. Sleshinskii, “The convergence of continued fractions,” Zap. Mat. Otd. Estest,10, 201–255 (1889).

    Google Scholar 

  4. V. Ya. Skorobogat'ko, The Theory of Branching Continued Fractions and Its Application in Computational Mathematics [in Russian], Nauka, Moscow (1983).

    Google Scholar 

  5. N. A. Nedashkovskii, “The convergence and computational stability of branching continued fractions of a certain type,” Mat. Metody Fiz.-Mekh. Polya,20, 27–31 (1984).

    Google Scholar 

  6. Kh. I. Kuchminskaya, “Sufficient conditions of the convergence of two-dimensional continued fractions,” Mat. Metody Fiz.-Mekh. Polya,20, 19–23 (1984).

    Google Scholar 

  7. D. I. Bodnar, Branching Continued Fractions [in Russian], Naukova Dumka, Kiev (1986).

    Google Scholar 

  8. P. I. Bodnarchuk, “Some transformations of branching continued fractions,” Mat. Metody Fiz.-Mekh. Polya,2, 153–155 (1975).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 41, No. 11, pp. 1553–1557, November, 1989.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bodnar, D.I. Pringsheim-type convergence indicators for branching continued fractions. Ukr Math J 41, 1339–1343 (1989). https://doi.org/10.1007/BF01056505

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01056505

Keywords

Navigation