Skip to main content

Modification of continued fractions

  • Conference paper
  • First Online:
Padé Approximation and its Applications Bad Honnef 1983

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1071))

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Peter Henrici: Applied and computational complex analysis. Vol. 2. New York, Wiley (1977)

    MATH  Google Scholar 

  2. Lisa Jacobsen: Convergence acceleration for continued fractions K(an/1). Trans.Amer.Math.Soc. 275, No. 1 (1983)

    Google Scholar 

  3. Lisa Jacobsen: Further results on convergence acceleration for continued fractions K(an/1). To appear in: Trans. Amer. Math. Soc.

    Google Scholar 

  4. Lisa Jacobsen: Modified approximants for continued fractions. Construction and applications. Kong. Norske Vid. Selsk. Skr. No. 3 (1983)

    Google Scholar 

  5. Lisa Jacobsen: Functions defined by continued fractions. Meromorphic continuation. Submitted.

    Google Scholar 

  6. Lisa Jacobsen: Convergence of limit k-periodic continued fractions K(an/bn) and of subsequences of their tails. Submitted.

    Google Scholar 

  7. William B. Jones and Wolfgang J. Thron: Continued fractions. Analytic theory and applications. Encyclopedia of mathematics and its applications, vol. 11; Addison Wesley, Reading, Mass. (1980)

    Google Scholar 

  8. William B. Jones and Wolfgang J. Thron: Two-point Padé tables and T-fractions. Bull. Amer. Math. Soc. 83, 388–390 (1977)

    Article  MathSciNet  MATH  Google Scholar 

  9. Arne Magnus: On the structure of the two-point Padé table. Lecture Notes in Math. 932, Springer-Verlag 176–193 (1982)

    Google Scholar 

  10. J.H. McCabe and J.A. Murphy: Continued fractions which correspond to power series expansions at two points. J. Inst. Maths. Applics. 17, 233–247 (1976)

    Article  MathSciNet  MATH  Google Scholar 

  11. O. Perron: Die Lehre von den Kettenbrüchen, Band II. Teubner, Stuttgart (1957a)

    MATH  Google Scholar 

  12. W.J. Thron: Some properties of the continued fraction \(1 + d_o z + K(\tfrac{z}{{1 + d_n z}})\). Bull. Amer. Math. Soc. 54, 206–218 (1948)

    Article  MathSciNet  Google Scholar 

  13. W.J. Thron and Haakon Waadeland: Accelerating convergence of limit periodic continued fractions K(an/1). Numer. Math. 34, 155–170 (1980)

    Article  MathSciNet  MATH  Google Scholar 

  14. J.W. Thron and Haakon Waadeland: Convergence questions for limit periodic continued fractions. Rocky Mountain J. Math. 11, 641–657 (1981)

    Article  MathSciNet  MATH  Google Scholar 

  15. W.J. Thron and Haakon Waadeland: Analytic continuation of functions defined by means of continued fractions. Math. Scand. 47, 72–90 (1980)

    MathSciNet  MATH  Google Scholar 

  16. W.J. Thron and Haakon Waadeland: On a certain transformation of continued fractions. Lecture Notes in Mathematics 932, Springer-Verlag 225–240 (1982)

    Article  MathSciNet  MATH  Google Scholar 

  17. J.W. Thron and Haakon Waadeland: Survey of modifications of continued fractions. Lecture Notes in Mathematics 932, Springer-Verlag 38–66 (1982)

    Article  MathSciNet  MATH  Google Scholar 

  18. Haakon Waadeland: On limit-periodic general T-fractions and holomorphic functions. J. Approx. Theory 27, 329–345 (1979b)

    Article  MathSciNet  MATH  Google Scholar 

  19. Haakon Waadeland: On general T-fractions corresponding to functions satisfying certain boundedness properties. J. Approx. Theory 26, 317–328 (1979a)

    Article  MathSciNet  MATH  Google Scholar 

  20. Haakon Waadeland: Tales about tails. To appear in: Proc. Amer. Math. Soc.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Helmut Werner Hans Josef Bünger

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag

About this paper

Cite this paper

Jacobsen, L., Waadeland, H. (1984). Modification of continued fractions. In: Werner, H., Bünger, H.J. (eds) Padé Approximation and its Applications Bad Honnef 1983. Lecture Notes in Mathematics, vol 1071. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099618

Download citation

  • DOI: https://doi.org/10.1007/BFb0099618

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13364-3

  • Online ISBN: 978-3-540-38914-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics