William B. Jones

Continued Fractions (eBook, PDF)

Analytic Theory and Applications

• Format: PDF

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
• Erscheinungstermin: 19. Februar 2009
• Englisch
• ISBN-13: 9781139242059
• Artikelnr.: 56704423

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.