Analytic Theory of Continued Fractions
Proceedings of a Seminar-Workshop Held at Loen, Norway, 1981
Published on 1. June 1982
Book
Paperback/Softback
VIII, 244 pages
978-3-540-11567-0 (ISBN)
Description
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.
More details
Series
Edition
1982 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
VIII, 244 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 14 mm
Weight
388 gr
ISBN-13
978-3-540-11567-0 (9783540115670)
DOI
10.1007/BFb0093301
Schweitzer Classification
Content
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.