Continued Fractions: Analytic Theory and Applicationsby William B. Jones, W. J. Thron
Pub. Date: 02/19/2009
Publisher: Cambridge University Press
This is an exposition of the analytic theory of continued fractions in the complex domain with emphasis on applications and computational methods. See more details below
This is an exposition of the analytic theory of continued fractions in the complex domain with emphasis on applications and computational methods.
- Cambridge University Press
- Publication date:
- Encyclopedia of Mathematics and its Applications Series, #11
- Edition description:
- Product dimensions:
- 6.10(w) x 9.20(h) x 1.00(d)
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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