A proof of the continued fraction expansion of .
Komatsu, Takao (2007)
Integers
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Displaying similar documents to “Square roots with many good approximants.”
A proof of the continued fraction expansion of .
Computation of -partial fractions.
Munagi, Augustine O. (2007)
Integers
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A Gauss-Kuzmin-Lévy theorem for a certain continued fraction.
Chan, Hei-Chi (2004)
International Journal of Mathematics and Mathematical Sciences
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Convergence of vectorial continued fractions related to the spectral seminorm.
Hemdaoui, M., Amzil, M. (2008)
Journal of Inequalities and Applications [electronic only]
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Rational approximations to Tasoev continued fractions.
Komatsu, Takao (2004)
Mathematica Pannonica
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Simple Continued Fractions and Their Convergents
Bo Li, Yan Zhang, Artur Korniłowicz (2006)
Formalized Mathematics
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The article introduces simple continued fractions. They are defined as an infinite sequence of integers. The characterization of rational numbers in terms of simple continued fractions is shown. We also give definitions of convergents of continued fractions, and several important properties of simple continued fractions and their convergents.
On the Ramanujan AGM fraction. II: The complex-parameter case.
Borwein, J., Crandall, R. (2004)
Experimental Mathematics
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On the concept of optimality interval.
Bibiloni, Lluís, Viader, Pelegrí, Paradís, Jaume (2002)
International Journal of Mathematics and Mathematical Sciences
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Pythagorean primes and palindromic continued fractions.
Benjamin, Arthur T., Zeilberger, Doron (2005)
Integers
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Hurwitz continued fractions with confluent hypergeometric functions
Takao Komatsu (2007)
Czechoslovak Mathematical Journal
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Many new types of Hurwitz continued fractions have been studied by the author. In this paper we show that all of these closed forms can be expressed by using confluent hypergeometric functions . In the application we study some new Hurwitz continued fractions whose closed form can be expressed by using confluent hypergeometric functions.
Hurwitz and Tasoev continued fractions with long period.
Komatsu, Takao (2006)
Mathematica Pannonica
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