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Some useful formulas involving tails of continued fractions

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Analytic Theory of Continued Fractions

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 932))

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References

  1. BASIC DEFINITIONS AND NOTATIONS, these Lecture Notes.

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  2. Lisa Jacobsen, Convergence Acceleration for Continued Fractions K(an/1), Trans. Amer. Math. Soc., to appear.

    Google Scholar 

  3. Lisa Jacobsen, A Method for Convergence Acceleration of Continued Fractions K(an/1), these Lecture Notes.

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  4. Lisa Jacobsen, Some Periodic Sequence of Circular Convergence Regions, these Lecture Notes.

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  5. William B. Jones and Wolfgang J. Thron, Continued fractions: Analytic theory and applications, ENCYCLOPEDIA OF MATHEMATICS AND ITS APPLICATIONS, No. 11, Addison-Wesley Publishing Company, Reading, Mass. 1980.

    MATH  Google Scholar 

  6. O. Perron, Die Lehre von den Kettenbrüchen, 3. Auflage, 2. Band. Stuttgart, Teubner 1957.

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

    Article  MathSciNet  MATH  Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  9. W. J. Thron and Haakon Waadeland, Convergence questions for limit periodic continued fractions, Rocky Mountain J. Math. 11, (1981), Number 4.

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  10. W. J. Thron and Haakon Waadeland, Modifications of Continued Fractions, a Survey, these Lecture Notes.

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  11. Haakon Waadeland, On T-fractions of functions; holomorphic and bounded in a circular disk, Norske Vid. Selsk. Skr. (Trondheim), (1964) No. 8, 1–19.

    MathSciNet  Google Scholar 

  12. Haakon Waadeland, A convergence property of certain T-fraction expansions, Norske Vid. Selsk. Skr. (Trondheim) (1966) No. 9, 1–22.

    MathSciNet  MATH  Google Scholar 

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Author information

Author notes

  1. Lisa Jacobsen

    Present address: Institutt for Matematikk NTH, Universitetet i Trondheim, 7034, Trondheim-NTH, Norway

  2. Haakon Waadeland

    Present address: Institutt for Matematikk og Statistikk NLHT, Universitetet i Trondheim, 7055, Dragvoll, Norway

Authors and Affiliations

    Authors
    1. Lisa Jacobsen
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    2. Haakon Waadeland
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    Editor information

    William B. Jones W. J. Thron Haakon Waadeland

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    © 1982 Springer-Verlag

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    Jacobsen, L., Waadeland, H. (1982). Some useful formulas involving tails of continued fractions. In: Jones, W.B., Thron, W.J., Waadeland, H. (eds) Analytic Theory of Continued Fractions. Lecture Notes in Mathematics, vol 932. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093309

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    • DOI: https://doi.org/10.1007/BFb0093309

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    • Publisher Name: Springer, Berlin, Heidelberg

    • Print ISBN: 978-3-540-11567-0

    • Online ISBN: 978-3-540-39276-7

    • eBook Packages: Springer Book Archive

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