Table of Contents

I. Introductory Examples. II. More Basics. III. Convergence Criteria. IV. Continued Fractions and Three-Term Recurrence Relations. V. Correspondence of Continued Fractions. VI. Hypergeometric Functions. VII. Moments and Orthogonality. VIII. Padé Approximants. IX. Some Applications in Number Theory. X. Zero-free Regions. XI. Digital Filters and Continued Fractions. XII. Applications to Some Differential Equations. Appendix: Some Continued Fraction Expansions. References. Index.

Reviews

A. Bultheel
"...ample material to make the reader fall in love with continued fractions... If you are interested in learning about continued fractions, this book should be on the top of your reading list." --Newsletter on Computational and Applied Mathematics