Continued Fractions with Applications
- 1st Edition, Volume 3 - February 11, 1991
- Authors: L. Lorentzen, H. Waadeland
- Language: English
- Hardback ISBN:9 7 8 - 0 - 4 4 4 - 8 9 2 6 5 - 2
- eBook ISBN:9 7 8 - 0 - 0 8 - 0 9 3 4 3 0 - 3
This book is aimed at two kinds of readers: firstly, people working in or near mathematics, who are curious about continued fractions; and secondly, senior or graduate students who… Read more
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Request a sales quoteThis book is aimed at two kinds of readers: firstly, people working in or near mathematics, who are curious about continued fractions; and secondly, senior or graduate students who would like an extensive introduction to the analytic theory of continued fractions. The book contains several recent results and new angles of approach and thus should be of interest to researchers throughout the field. The first five chapters contain an introduction to the basic theory, while the last seven chapters present a variety of applications. Finally, an appendix presents a large number of special continued fraction expansions. This very readable book also contains many valuable examples and problems.
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.
- No. of pages: 616
- Language: English
- Edition: 1
- Volume: 3
- Published: February 11, 1991
- Imprint: North Holland
- Hardback ISBN: 9780444892652
- eBook ISBN: 9780080934303
LL
L. Lorentzen
Affiliations and expertise
Division of Mathematical Sciences, University of Trondheim, NorwayHW
H. Waadeland
Affiliations and expertise
Department of Mathematics and Statistics, University of Trondheim, Norway