Continued fractions : analytic theory and applications

Author(s)

• Jones, William B.
• Thron, Wolfgang J.

Bibliographic Information

Continued fractions : analytic theory and applications

William B. Jones and W.J. Thron ; foreword by Felix E. Browder ; introduction by Peter Henrici

（Encyclopedia of mathematics and its applications / edited by G.-C. Rota, v. 11 . Section, Analysis）

Cambridge University Press, 1984

Note

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

Description and Table of Contents

Description

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

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.

by "Nielsen BookData"

Details

• NCID: BA06558054
• ISBN:
  • 0521302315
• LCCN: 85121401
• Country Code: uk
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Cambridge [Cambridgeshire] ; New York, NY, USA
• Pages/Volumes: xxviii, 428 p.
• Size: 24 cm
• Classification:
  • LCC : QA295
  • DC19 : 515/.243
• Subject Headings:
  • LCSH : Fractions, Continued
• Parent Bibliography ID:
  • BA00064663