William B. Jr. Jones, W. J. Thron

Continued Fractions

Analytic Theory and Applications

• Broschiertes Buch

Produktbeschreibung

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

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 460
• Erscheinungstermin: 1. Oktober 2008
• Englisch
• Abmessung: 234mm x 156mm x 25mm
• Gewicht: 693g
• ISBN-13: 9780521101523
• ISBN-10: 0521101522
• Artikelnr.: 25585601

Inhaltsangabe

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.