Continued Fractions: Analytic Theory and Applications

ISBN: 9780521101523 出版年：1984 页码：462 William B Jones W J Thron Cambridge University Press

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.