Analytic Theory of Continued Fractions: Proceedings of a Seminar-Workshop held at Loen, Norway, 1981

Description

Basic definitions and notation....Pages 1-3 Survey of continued fraction methods of solving moment problems and related topics....Pages 4-37 Modifications of continued fractions, a survey....Pages 38-66 Convergence acceleration for continued fractions K(a n /1) with lim a n =0....Pages 67-70 Truncation error analysis for continued fractions K(a n /1) where $$\sqrt {\left| {a_n } \right|} + \sqrt {\left| {a_{n - 1} } \right|} < 1$$ ....Pages 71-73 A method for convergence acceleration of continued fractions K(a n /1)....Pages 74-86 Some periodic sequences of circular convergence regions....Pages 87-98 Some useful formulas involving tails of continued fractions....Pages 99-105 Uniform twin-convergence regions for continued fractions K(a n /1)....Pages 106-128 Digital filters and continued fractions....Pages 129-151 δ-Fraction expansions of analytic functions....Pages 152-175 On the structure of the two-point padé table....Pages 176-193 A class of element and value regions for continued fractions....Pages 194-205 Parameterizations and factorizations of element regions for continued fractions K(a n /1)....Pages 206-224 On a certain transformation of continued fractions....Pages 225-240