Analytic Theory of Continued Fractions

Proceedings of a Seminar-Workshop Held at Loen, Norway, 1981
Herausgegeben:Jones, W. B.; Thron, W. J.; Waadeland, H.

• Broschiertes Buch

Produktbeschreibung

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 pad¿able.- 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.

Produktdetails

• Lecture Notes in Mathematics 932
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-11567-0
• 1982.
• Seitenzahl: 252
• Erscheinungstermin: 1. Juni 1982
• Englisch
• Abmessung: 235mm x 155mm x 14mm
• Gewicht: 406g
• ISBN-13: 9783540115670
• ISBN-10: 3540115676
• Artikelnr.: 23596231

Inhaltsangabe

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.