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

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Content:
Front Matter....Pages -
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(an/1) with lim an=0....Pages 67-70
Truncation error analysis for continued fractions K(an/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(an/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(an/1)....Pages 106-128
Digital filters and continued fractions....Pages 129-151
?-Fraction expansions of analytic functions....Pages 152-175
On the structure of the two-point pad? 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(an/1)....Pages 206-224
On a certain transformation of continued fractions....Pages 225-240

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Content:
Front Matter....Pages -
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(an/1) with lim an=0....Pages 67-70
Truncation error analysis for continued fractions K(an/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(an/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(an/1)....Pages 106-128
Digital filters and continued fractions....Pages 129-151
?-Fraction expansions of analytic functions....Pages 152-175
On the structure of the two-point pad? 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(an/1)....Pages 206-224
On a certain transformation of continued fractions....Pages 225-240
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