Continued fractions : analytic theory and applications
著者
書誌事項
Continued fractions : analytic theory and applications
（Encyclopedia of mathematics and its applications / edited by G.-C. Rota, v. 11）
Cambridge University Press, 2008, c1984
- : pbk
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注記
"First published 1980 by Addison Wesley, first published by Cambridge University Press 1984, this digitally printed version 2008"--T.p. verso
"Paperback re-issue"--P. [4] of cover
Includes bibliographical references (p. 404-419) and indexes
内容説明・目次
内容説明
This is an exposition of the analytic theory of continued fractions in the complex domain with emphasis on applications and computational methods.
目次
- 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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