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Continued Fractions with Absolutely Convergent Even or Odd Part
Published online by Cambridge University Press: 20 November 2018
Extract
The purpose of this paper is to give conditions under which the absolute convergence of the subsequence of odd or of even approximants to a continued fraction implies convergence of the continued fraction. In § 2 we consider the problem in general, and in § 3 we impose a condition which gives absolute convergence of the odd or of the even part of the continued fraction and state conditions which imply convergence of the continued fraction.
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- Copyright © Canadian Mathematical Society 1959
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