Continued Fractions

Analytic Theory and Applications

William B. Jones, W. J. Thron (Autoren)

Buch | Softcover

460 Seiten

2009
Cambridge University Press (Verlag)
978-0-521-10152-3 (ISBN)

Infos

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

Inhalt

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.

Produkt-Details

• Erscheint lt. Verlag: 19.2.2009
• Reihe/Serie: Encyclopedia of Mathematics and its Applications
• Verlagsort: Cambridge
• Sprache: englisch
• Maße: 156 x 234 mm
• Gewicht: 640 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• ISBN-10: 0-521-10152-2 / 0521101522
• ISBN-13: 978-0-521-10152-3 / 9780521101523
• Zustand: Neuware