Continued Fractions: Analytic Theory and Applications

Continued Fractions: Analytic Theory and Applications

by William B. Jones, W. J. Thron
     
 

ISBN-10: 0521101522

ISBN-13: 9780521101523

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.

Overview

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

Product Details

ISBN-13:
9780521101523
Publisher:
Cambridge University Press
Publication date:
02/19/2009
Series:
Encyclopedia of Mathematics and its Applications Series, #11
Edition description:
Reissue
Pages:
460
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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