Continued Fractions with Applications - L. Lorentzen, H. Waadeland

Continued Fractions with Applications

Buch | Hardcover
616 Seiten
1992
North-Holland (Verlag)
978-0-444-89265-2 (ISBN)
62,30 inkl. MwSt
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 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.

Erscheint lt. Verlag 24.4.1992
Reihe/Serie Studies in Computational Mathematics
Sprache englisch
Maße 156 x 234 mm
Gewicht 1040 g
Themenwelt Mathematik / Informatik Informatik Theorie / Studium
Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
ISBN-10 0-444-89265-6 / 0444892656
ISBN-13 978-0-444-89265-2 / 9780444892652
Zustand Neuware
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