A proof of the continued fraction expansion of .
Komatsu, Takao (2007)
Integers
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Komatsu, Takao (2007)
Integers
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Munagi, Augustine O. (2007)
Integers
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Chan, Hei-Chi (2004)
International Journal of Mathematics and Mathematical Sciences
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Hemdaoui, M., Amzil, M. (2008)
Journal of Inequalities and Applications [electronic only]
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Komatsu, Takao (2004)
Mathematica Pannonica
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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.
Borwein, J., Crandall, R. (2004)
Experimental Mathematics
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Bibiloni, Lluís, Viader, Pelegrí, Paradís, Jaume (2002)
International Journal of Mathematics and Mathematical Sciences
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Benjamin, Arthur T., Zeilberger, Doron (2005)
Integers
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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.