Skip to main content
SpringerLink
Log in
Book cover

Analytic Theory of Continued Fractions II pp 220–262Cite as

Continued fraction applications to zero location

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1199))

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

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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Evelyn Frank, On the zeros of polynomials with complex coefficients, Bull. Amer. Math. Soc., 52 (1946) 144–157.

    Article  MathSciNet  MATH  Google Scholar 

  2. J. Grommer, Ganze transcendente Functionen mit lauter reellen Nullstellen, Jour. für Math. 44 (1914) 212–238.

    MATH  Google Scholar 

  3. Peter Henrici, Applied and Computational Complex Analysis, Vol. 1, Power Series, Integration, Conformal Mapping, and Location of Zeros, Wiley, New York, 1974.

    MATH  Google Scholar 

  4. Peter Henrici, Applied and Computational Complex Analysis, Vol. 2, Special Functions, Integral Transforms, Asymptotics, and Continued Fractions, Wiley, New York, 1977.

    MATH  Google Scholar 

  5. William B. Jones and Allan Steinhardt, Digital filters and continued fractions, Analytic Theory of Continued Fractions Lecture Notes in Mathematics 932, Springer-Verlag, New York (1982), 129–151.

    Chapter  Google Scholar 

  6. William B. Jones and Allan Steinhardt, Applications of Schur fractions to digital filtering and signal processing, Rational Approximation and Interpolation, (eds. P. Graves-Morris, E.B. Saff, R.S. Varga) Lecture Notes in Mathematics 1105 (1984), 210–226.

    Google Scholar 

  7. William B. Jones and W.J. Thron, Continued Fractions: Analytic Theory and Applications, Encyclopedia of Mathematics and its Applications, Vol. II, Addison-Wesley, Reading, MA, 1980, distributed now by Cambridge U. Press, New York.

    MATH  Google Scholar 

  8. L.J. Lange, δ-Fraction expansions of analytic functions, SIAM J. Math. Anal., 14 (1983) 323–368.

    Article  MathSciNet  MATH  Google Scholar 

  9. Oscar Perron, Die Lehre von den Kettenbrüchen, Band II, Teubner, Stuttgart, 1957.

    MATH  Google Scholar 

  10. Joseph W. Rogers, Location of roots of polynomials, SIAM Review 25 (1983) 327–342.

    Article  MathSciNet  MATH  Google Scholar 

  11. E.C. Titchamarsh, The Theory of Functions, 2nd ed., Oxford U. Press, London 1939.

    Google Scholar 

  12. J.V. Uspensky, Theory of Equations, MGraw-Hill, New York, 1948.

    Google Scholar 

  13. H.S. Wall, Polynomials whose zeroes have netative real parts, Amer. Math. Monthly, 52 (1945) 308–322.

    Article  MathSciNet  MATH  Google Scholar 

  14. H.S. Wall, Analytic Theory of Continued Fractions, Van Nostrand, 1948.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Missouri, 65211, Columbia, Missouri

    L. J. Lange

Authors
  1. L. J. Lange
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Wolfgang J. Thron

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Springer-Verlag

About this paper

Cite this paper

Lange, L.J. (1986). Continued fraction applications to zero location. In: Thron, W.J. (eds) Analytic Theory of Continued Fractions II. Lecture Notes in Mathematics, vol 1199. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075940

Download citation

  • DOI: https://doi.org/10.1007/BFb0075940

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16768-6

  • Online ISBN: 978-3-540-38817-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation