Analytic Theory of Continued Fractions

Proceedings of a Seminar-Workshop Held at Loen, Norway, 1981
1. Auflage 1982
ISBN: 978-3-540-11567-0
Verlag: Springer

Buch, Englisch, Band 932, 244 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 388 g

Reihe: Lecture Notes in Mathematics

Springer Book Archives

Zielgruppe

Research

Autoren/Hrsg.

Jones, W. B.

Thron, W. J.

Waadeland, H.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Zahlentheorie
• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis

Inhaltsverzeichnis

Basic definitions and notation.- Survey of continued fraction methods of solving moment problems and related topics.- Modifications of continued fractions, a survey.- Convergence acceleration for continued fractions K(an/1) with lim an=0.- Truncation error analysis for continued fractions K(an/1) where.- A method for convergence acceleration of continued fractions K(an/1).- Some periodic sequences of circular convergence regions.- Some useful formulas involving tails of continued fractions.- Uniform twin-convergence regions for continued fractions K(an/1).- Digital filters and continued fractions.- ?-Fraction expansions of analytic functions.- On the structure of the two-point padé table.- A class of element and value regions for continued fractions.- Parameterizations and factorizations of element regions for continued fractions K(an/1).- On a certain transformation of continued fractions.