A convergence theorem for continued fractions of the form <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msubsup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mo>∞</mml:mo></mml:mrow></mml:msubsup><mml:msub><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:mn>1</mml:mn></mml:math>-Reference-Cited by-同舟云学术

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A convergence theorem for continued fractions of the form Kn=1∞an/1

Published:2005-07 Issue:1-2 Volume:179 Page:255-262
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

Mc Laughlin J.,Wyshinski Nancy J.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference7 articles.

1. Some convergence regions for continued fractions;Hayden;Math. Z.,1962

2. Continued Fractions Analytic Theory and Applications;Jones,1980

3. On a family of twin convergence regions for continued fractions;Lange;Illinois J. Math.,1966

4. Continued Fractions with Applications;Lorentzen,1992

5. Über die Konvergenz unendlicher Kettenbrüche;Pringsheim;Bayer. Akad. Wiss. Math.-Natur. Kl,1899

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Some Circular Regions of Convergence for Branched Continued Fractions of a Special Form;Journal of Mathematical Sciences;2015-02-05

2. Twin circular domains of convergence of branched continued fractions with inequivalent variables;Journal of Mathematical Sciences;2011-03-08

3. On one criterion for the figured convergence of two-dimensional continued fractions with complex elements;Journal of Mathematical Sciences;2010-10-08

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