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Continued Fractions

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Continued Fractions

Continued Fractions

Analytic Theory and Applications
William B. Jones
W. J. Thron
February 2009
Paperback
9780521101523
£76.99
GBP
Paperback
USD
eBook
    Description

    This is an exposition of the analytic theory of continued fractions in the complex domain with emphasis on applications and computational methods.

    Reviews & endorsements

    Review of the hardback: 'The first comprehensive and self-contained exposition of the analytic theory of continued fractions in over twenty years'. American Mathematical Monthly

    See more reviews

    Product details

    February 2009
    Paperback
    9780521101523
    460 pages
    234 × 156 × 24 mm
    0.64kg
    Available

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    This title is available for institutional purchase via Cambridge Core

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    Contents

    Table of Contents

    • 1. Introduction
    • 2. Elementary Properties of Continued Fractions
    • 3. Continued Fractions
    • 4. Convergence of Continued Fractions
    • 5. Methods for Representing Analytic Functions by Continued Fractions
    • 6. Representations of Analytic Functions by Continued Fractions
    • 7. Types of Corresponding Continued Fractions and Related Algorithms
    • 8. Truncation-Error Analysis
    • 9. Asymptotic Expansions and Moment Problems
    • 10. Numerical Stability in Evaluating Continued Fractions
    • 11. Application of Continued Fractions to Birth-Death Processes
    • 12. Miscellaneous Results.
      • Show more

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