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Continued Fractions
Analytic Theory and Applications


Part of Encyclopedia of Mathematics and its Applications

  • Date Published: February 2009
  • availability: Available
  • format: Paperback
  • isbn: 9780521101523

£ 76.99

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About the Authors
  • 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

    • Date Published: February 2009
    • format: Paperback
    • isbn: 9780521101523
    • length: 460 pages
    • dimensions: 234 x 156 x 24 mm
    • weight: 0.64kg
    • availability: Available
  • 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.

  • Authors

    William B. Jones

    W. J. Thron

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