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Some Recent Results in the Analytic Theory of Continued Fractions

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Nonlinear Numerical Methods and Rational Approximation

Part of the book series: Mathematics and Its Applications ((MAIA,volume 43))

Abstract

Examples of recent development in the analytic theory of continued fractions are presented, limited to the following: a) In the basic theory: Some new concepts and their role in the theory. b) In the algorithmic part: Methods of computation of values of continued fractions. c) In the applications:A remark on the determination of zero-free regions for polynomials,

The results are largely elementary, and may to a large extent be included in a possible undergraduate course in analytic theory of continued fractions.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, The University of Trondheim, N-7055, Dragvoll, Norway

    Haakon Waadeland

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  1. Haakon Waadeland
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Editor information

Editors and Affiliations

  1. Universitaire Instelling Antwerpen, Universiteit Antwerpen, Belgium

    Annie Cuyt

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© 1988 D. Reidel Publishing Company

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Waadeland, H. (1988). Some Recent Results in the Analytic Theory of Continued Fractions. In: Cuyt, A. (eds) Nonlinear Numerical Methods and Rational Approximation. Mathematics and Its Applications, vol 43. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2901-2_18

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  • DOI: https://doi.org/10.1007/978-94-009-2901-2_18

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7807-8

  • Online ISBN: 978-94-009-2901-2

  • eBook Packages: Springer Book Archive

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