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Continued Fractions: Analytic Theory and Applications

William B. Jones and W. J. Thron
Publisher: 
Cambridge University Press
Publication Date: 
2009
Number of Pages: 
460
Format: 
Paperback
Series: 
Encyclopedia of Mathematics and Its Applications 11
Price: 
84.00
ISBN: 
978-0521101523
Category: 
General
BLL Rating: 

The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition.

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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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