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Continued Fractions

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Continued Fractions

Continued Fractions

Analytic Theory and Applications
William B. Jones
W. J. Thron
May 2012
Adobe eBook Reader
9781139242059
$55.99
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    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

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    Product details

    May 2012
    Adobe eBook Reader
    9781139242059
    0 pages
    0kg
    This ISBN is for an eBook version which is distributed on our behalf by a third party.

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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.
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