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 . Section,
Cambridge University Press, 1984
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注記
Imprint and ISBN from label on t.p. verso. Imprint on t.p: Reading, Mass. : Addision-Wesley Pub. Co., Advanced Book Program, 1980
Publication taken over by Cambridge University Press in 1984 with a new copyright date
Bibliography: p. 404-419
Includes 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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